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Finding the Third Proportional to 732,132 and 1,342,764

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Solution

The third proportional to 732,132 and 1,342,764 is: 2,462,691.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,132 : 1,342,764 = 1,342,764 : x
  2. Step 2: Convert to fraction form
    732,132/1,342,764 = 1,342,764/x
  3. Step 3: Cross multiply
    732,132x = 1,342,764 × 1,342,764
  4. Step 4: Simplify right side
    732,132x = 1,803,015,159,696
  5. Step 5: Solve for x
    x = 1,803,015,159,696/732,132
  6. Step 6: Final answer
    x = 2,462,691.37

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These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.