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Finding the Third Proportional to 656,101.13 and 984,151.88

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Solution

The third proportional to 656,101.13 and 984,151.88 is: 1,476,228.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,101.13 : 984,151.88 = 984,151.88 : x
  2. Step 2: Convert to fraction form
    656,101.13/984,151.88 = 984,151.88/x
  3. Step 3: Cross multiply
    656,101.13x = 984,151.88 × 984,151.88
  4. Step 4: Simplify right side
    656,101.13x = 968,554,913,066.02
  5. Step 5: Solve for x
    x = 968,554,913,066.02/656,101.13
  6. Step 6: Final answer
    x = 1,476,228.09

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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.