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I checked the size guide for LinkedIn cover images here
For page, they say:
1192 (w) x 220 (h) pixels (min)
1536 (w) x 768 (h) pixels (recommended)
Doubt 1: Both have different ratios. Why is that?
Doubt 2: When I opened developer tools, I found the dimensions of the image container as 1128x191px. Which also has a ratio different to them.
So what is the correct ratio for the cover? And why the ratio differs in developer tools and normal guidelines
The LinkedIn Network Statistics Link will give you an estimate of your first, second and third degree connections laid out like so:
LinkedIn no longer officially supports network statistics, and according to this article the statistics themselves were never accurate, per se (evidence includes network sizes precipitously dropping, and second and third degree connections decreasing with the addition of first degree connections).
This article, How to Find Your LinkedIn Network Statistics also gives alternatives for finding, estimating and visualizing your network size.
If you enter an asterisk into the search bar which will give you the number of results through which you are searching in your network.
This will also return your number of second degree connections, displayed further down the left-hand navigation bar:
Not in the true and direct sense, where you might just supply Trello with a URL that points to an externally-hosted cover photo, and Trello might simply display it.
As you correctly state, cover photos for Trello cards currently need to be attached from either "Computer" (local drive), "Google Drive", or "Dropbox".
However, there are several ways that can simplify the process of downloading such an externally-hosted photo to your local drive and then uploading it to Trello in order to make it the cover photo:
Attach File.... For Attach From..., choose Computer, and for the file name in the "Upload File" dialog-box, simply paste the desired URL -- say: http://upload.wikimedia.org/wikipedia/commons/a/a8/NASA-Apollo8-Dec24-Earthrise.jpg
Best Answer
LinkedIn, as well as other major websites, can't afford to lock down aspect ratio to a specific variable due to cross-platform support of various devices and browsers.
Therefore, correct LinkedIn Page Cover should be between 1192-1536 px for width and 220-768 px height or in aspect ratio notation: between 298:55 - 2:1 (with respect to max/min resolution of course).
After uploading such an image (eg. based on right dimension guidelines), the image is processed by an internal tool which will either create pre-defined versions of the image for different scenarios and store them on server side ready to be called by the browser, or this tool is implemented and does its magic in real time.