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Finding the Third Proportional to 625,742 and 938,634

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Solution

The third proportional to 625,742 and 938,634 is: 1,407,982.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,742 : 938,634 = 938,634 : x
  2. Step 2: Convert to fraction form
    625,742/938,634 = 938,634/x
  3. Step 3: Cross multiply
    625,742x = 938,634 × 938,634
  4. Step 4: Simplify right side
    625,742x = 881,033,785,956
  5. Step 5: Solve for x
    x = 881,033,785,956/625,742
  6. Step 6: Final answer
    x = 1,407,982.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.