
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 that one of the foci and the two vertices of an ellipse form the vertices of an equilateral triangle, find the ratio of the length of the major axis to the length of the minor axis.

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