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Three circles with radius r(1), r(2), r(...

Three circles with radius `r_(1), r_(2), r_(3)` touch one another externally. The tangents at their point of contact meet at a point whose distance from a point of contact is `2`. The value of `((r_(1)r_(2)r_(3))/(r_(1)+r_(2)+r_(3)))` is equal to

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