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Finding the Third Proportional to 417,084 and 984,372

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Solution

The third proportional to 417,084 and 984,372 is: 2,323,244.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,084 : 984,372 = 984,372 : x
  2. Step 2: Convert to fraction form
    417,084/984,372 = 984,372/x
  3. Step 3: Cross multiply
    417,084x = 984,372 × 984,372
  4. Step 4: Simplify right side
    417,084x = 968,988,234,384
  5. Step 5: Solve for x
    x = 968,988,234,384/417,084
  6. Step 6: Final answer
    x = 2,323,244.80

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.