Set up git to push to another user's Github repo?

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Let's say I'm user1 and I have a Github account at http://github.com/user1. Naturally, I'd set up git locally as so:

origin git@github.com:user1/repo.git (fetch)
origin git@github.com:user1/repo.git (push)

What would I do if I have fetch & push permissions to someone else's repo (let's say user2) whose repo is located at http://github.com/user2/user2srepo.git?

EDIT: Sorry, everyone is right with their answers. I should have clarified that I used to have it set up as origin http://github.com/user2/user2srepo.git but I wanted to avoid being asked for user credentials every single time I pushed.

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