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Geometry Level pending

Consider a parabola \( y^{2}=4ax\) with \( a>0\). Points \(A, B, C\) with coordinates \(( x_{i}, y_{i} )\), where \( i={1,2,3}\), respectively, on the parabola are such that orthocenter of the triangle \(ABC\) is the focus of the parabola.

Find the value of \(\left( \dfrac{y_{1}}{2a} -1\right) \left( \dfrac{y_{2}}{2a} -1\right)\left( \dfrac{y_{3}}{2a} -1\right)\).

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