
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 Deborah has two containers, the first container is $\tfrac{3}{7}$ full of water, and the second container is empty. She transfers all the water from the first container into the second container, which then becomes $\tfrac{2}{3}$ full. Determine the ratio of the volume of the first container to the volume of the second container.

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