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Finding the Third Proportional to 732,432 and 1,131,828

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Solution

The third proportional to 732,432 and 1,131,828 is: 1,749,015.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,432 : 1,131,828 = 1,131,828 : x
  2. Step 2: Convert to fraction form
    732,432/1,131,828 = 1,131,828/x
  3. Step 3: Cross multiply
    732,432x = 1,131,828 × 1,131,828
  4. Step 4: Simplify right side
    732,432x = 1,281,034,621,584
  5. Step 5: Solve for x
    x = 1,281,034,621,584/732,432
  6. Step 6: Final answer
    x = 1,749,015.09

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.