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Finding the Third Proportional to 728,460 and 1,105,812

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Solution

The third proportional to 728,460 and 1,105,812 is: 1,678,637.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,460 : 1,105,812 = 1,105,812 : x
  2. Step 2: Convert to fraction form
    728,460/1,105,812 = 1,105,812/x
  3. Step 3: Cross multiply
    728,460x = 1,105,812 × 1,105,812
  4. Step 4: Simplify right side
    728,460x = 1,222,820,179,344
  5. Step 5: Solve for x
    x = 1,222,820,179,344/728,460
  6. Step 6: Final answer
    x = 1,678,637.37

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.