
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
At the side edge \( AB \) of a pyramid, points \( K \) and \( M \) are taken such that \( AK = BM \). Sections parallel to the base of the pyramid are drawn through these points. It is known that the sum of the areas of these sections is \(\frac{2}{3}\) of the area of the base of the pyramid. Find the ratio \( KM : AB \).

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