It's All Good

Geometry Level 2

Let \(O=(0,0), P=(3,4), Q=(6,0)\) be the vertices of triangle \(OPQ.\) Point \(R\) inside the triangle is such that triangles \(OPR, PQR, OQR\) are of equal area.

The product of the coordinates of \(R\) is \(\text{__________}.\)

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