GPS coordinates of a point between two known points

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I am looking for an algorithm for finding GPS coordinate of a point on a straight line defined by say points p1 and p2 at distance r from p1. GPS coordinate of p1 and p2 are known. I searched a lot on web but couldn't find any well explanatory answer. I found an answer which was solving it just like Cartesian coordinates. But I don't think its correct as GPS coordinated system is not analogous to Cartesian coordinate system.



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