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Finding the Third Proportional to 478,404 and 1,025,496

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Solution

The third proportional to 478,404 and 1,025,496 is: 2,198,230.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,404 : 1,025,496 = 1,025,496 : x
  2. Step 2: Convert to fraction form
    478,404/1,025,496 = 1,025,496/x
  3. Step 3: Cross multiply
    478,404x = 1,025,496 × 1,025,496
  4. Step 4: Simplify right side
    478,404x = 1,051,642,046,016
  5. Step 5: Solve for x
    x = 1,051,642,046,016/478,404
  6. Step 6: Final answer
    x = 2,198,230.04

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.