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Finding the Third Proportional to 656,581 and 984,864

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Solution

The third proportional to 656,581 and 984,864 is: 1,477,284.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,581 : 984,864 = 984,864 : x
  2. Step 2: Convert to fraction form
    656,581/984,864 = 984,864/x
  3. Step 3: Cross multiply
    656,581x = 984,864 × 984,864
  4. Step 4: Simplify right side
    656,581x = 969,957,098,496
  5. Step 5: Solve for x
    x = 969,957,098,496/656,581
  6. Step 6: Final answer
    x = 1,477,284.75

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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.