
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Suppose \( x \) is inversely proportional to \( y \). Let \( x_1, x_2 \) be two nonzero values of \( x \) such that \( \frac{x_1}{x_2} = \frac{3}{5} \). Let the corresponding \( y \) values be \( y_1, y_2 \). If \( y_1, y_2 \) are nonzero, find the value of \( \frac{y_1}{y_2} \).

Present the answer in LaTex format: \boxed{Your answer}
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