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Finding the Third Proportional to 498,664 and 1,081,872

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Solution

The third proportional to 498,664 and 1,081,872 is: 2,347,165.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,664 : 1,081,872 = 1,081,872 : x
  2. Step 2: Convert to fraction form
    498,664/1,081,872 = 1,081,872/x
  3. Step 3: Cross multiply
    498,664x = 1,081,872 × 1,081,872
  4. Step 4: Simplify right side
    498,664x = 1,170,447,024,384
  5. Step 5: Solve for x
    x = 1,170,447,024,384/498,664
  6. Step 6: Final answer
    x = 2,347,165.68

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.