
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
Find the ratio $\frac{2023ac}{b^{2}}$, given that one of the roots of the equation $ax^{2} + bx + c = 0$ is 2022 times greater than the other. Here, $a \cdot b \cdot c \neq 0$.

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