
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
Given the radii $R_1$, $R_2$, $R_3$ of three spheres satisfy $R_1 + 2R_2 = 3R_3$, determine the relationship between their surface areas $S_1$, $S_2$, $S_3$.

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