Geometry Question 1

Level pending

In the figure above, \(r_{ 1 }\), \(r_{ 2 }\), \(r_{ 3 }\) are the radius of circles \(O_{ 1 }\), \(O_{ 2 }\), \(O_{ 3 }\) respectively. Given that \(O_{ 1 } + O_{ 2 }\) = \(2 \times O_{ 3 }\), and \(r_{ 1 } = r_{ 2 }\), find Segment \(O_{ 3 }y\) in terms of \(r_{ 1 }\) and \(r_{ 3 }\).

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