https://file.aiquickdraw.com/mathbot/file/1727480593204ud5hrpv1.jpg

The equation in the image is set up to convert a measurement from \(\text{Pa} \cdot \text{mm}^2\) to \(\text{Pa} \cdot \text{m}^2\). To fill in the missing part, you need to use the appropriate conversion factor between millimeters and meters. 

Since 1 meter (\(m\)) equals 1000 millimeters (\(mm\)), the conversion between square millimeters (\(\text{mm}^2\)) and square meters (\(\text{m}^2\)) is:

\[
1 \, \text{m}^2 = 10^6 \, \text{mm}^2
\]

Thus, the missing part of the equation would involve multiplying by \(10^6\) to account for the conversion from \(\text{mm}^2\) to \(\text{m}^2\).

### Solution
The missing factor should be:
\[
\boxed{10^6}
\]

This ensures the units convert properly from \(\text{Pa} \cdot \text{mm}^2\) to \(\text{Pa} \cdot \text{m}^2\).

Would you like more detailed steps on how this conversion is done, or do you have any questions? Here are five questions that relate to this topic:

1. How do you convert from \(\text{cm}^2\) to \(\text{m}^2\)?
2. Why is the conversion factor squared when converting areas rather than lengths?
3. How would you convert from \(\text{km}^2\) to \(\text{m}^2\)?
4. What is the physical significance of \(\text{Pa} \cdot \text{m}^2\)?
5. How would you handle conversions involving cubic units?

**Tip:** When converting units involving squared or cubed terms (like area or volume), always remember to apply the conversion factor to both dimensions (e.g., \((1000 \, \text{mm}/\text{m})^2\) for area conversions).

A student sets up the following equation to convert a measurement. (The ? stands for a number the student is going to calculate.) Fill in the missing part of this equation. (-2.6 x 10^4 Pa·mm²) × ? = ? Pa·m².

Learn how to convert Pa·mm² to Pa·m² using the conversion factor 1 m² = 10^6 mm². This page covers the basics of dimensional analysis and unit conversion for areas, suitable for students in Grades 7-10.

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