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Finding the Third Proportional to 397,206 and 936,864

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Solution

The third proportional to 397,206 and 936,864 is: 2,209,720.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,206 : 936,864 = 936,864 : x
  2. Step 2: Convert to fraction form
    397,206/936,864 = 936,864/x
  3. Step 3: Cross multiply
    397,206x = 936,864 × 936,864
  4. Step 4: Simplify right side
    397,206x = 877,714,154,496
  5. Step 5: Solve for x
    x = 877,714,154,496/397,206
  6. Step 6: Final answer
    x = 2,209,720.28

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.