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Finding the Third Proportional to 431,472 and 938,697

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Solution

The third proportional to 431,472 and 938,697 is: 2,042,199.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,472 : 938,697 = 938,697 : x
  2. Step 2: Convert to fraction form
    431,472/938,697 = 938,697/x
  3. Step 3: Cross multiply
    431,472x = 938,697 × 938,697
  4. Step 4: Simplify right side
    431,472x = 881,152,057,809
  5. Step 5: Solve for x
    x = 881,152,057,809/431,472
  6. Step 6: Final answer
    x = 2,042,199.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.