# Progressions are not as easy as you think

Algebra Level 4

If $$x$$, $$y$$ and $$z$$ are in geometric progression and $$x$$, $$2y$$ and $$3z$$ are in arithmetic progression, find the common ratio of the geometric progression.

Note: $$x$$, $$y$$ and $$z$$ are distinct, non zero integers.

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