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Finding the Third Proportional to 721,112 and 1,538,760

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Solution

The third proportional to 721,112 and 1,538,760 is: 3,283,515.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,112 : 1,538,760 = 1,538,760 : x
  2. Step 2: Convert to fraction form
    721,112/1,538,760 = 1,538,760/x
  3. Step 3: Cross multiply
    721,112x = 1,538,760 × 1,538,760
  4. Step 4: Simplify right side
    721,112x = 2,367,782,337,600
  5. Step 5: Solve for x
    x = 2,367,782,337,600/721,112
  6. Step 6: Final answer
    x = 3,283,515.37

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.