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Finding the Third Proportional to 657,864 and 984,118

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Solution

The third proportional to 657,864 and 984,118 is: 1,472,170.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,864 : 984,118 = 984,118 : x
  2. Step 2: Convert to fraction form
    657,864/984,118 = 984,118/x
  3. Step 3: Cross multiply
    657,864x = 984,118 × 984,118
  4. Step 4: Simplify right side
    657,864x = 968,488,237,924
  5. Step 5: Solve for x
    x = 968,488,237,924/657,864
  6. Step 6: Final answer
    x = 1,472,170.90

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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.