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Finding the Third Proportional to 729,822 and 1,162,188

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Solution

The third proportional to 729,822 and 1,162,188 is: 1,850,699.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,822 : 1,162,188 = 1,162,188 : x
  2. Step 2: Convert to fraction form
    729,822/1,162,188 = 1,162,188/x
  3. Step 3: Cross multiply
    729,822x = 1,162,188 × 1,162,188
  4. Step 4: Simplify right side
    729,822x = 1,350,680,947,344
  5. Step 5: Solve for x
    x = 1,350,680,947,344/729,822
  6. Step 6: Final answer
    x = 1,850,699.14

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.