Find the square of the sum of the roots of the equation \( \mathrm{...

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Find the square of the sum of the roots of the equation
\( \mathrm{P} \)
\[
\log _{3} x \cdot \log _{4} x \cdot \log _{5} x=\log _{3} x \cdot \log _{4} x+\log _{4} x \cdot \log _{5} x+\log _{5} x \cdot \log _{3} x
\]
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