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Finding the Third Proportional to 747,966 and 1,609,976

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Solution

The third proportional to 747,966 and 1,609,976 is: 3,465,428.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,966 : 1,609,976 = 1,609,976 : x
  2. Step 2: Convert to fraction form
    747,966/1,609,976 = 1,609,976/x
  3. Step 3: Cross multiply
    747,966x = 1,609,976 × 1,609,976
  4. Step 4: Simplify right side
    747,966x = 2,592,022,720,576
  5. Step 5: Solve for x
    x = 2,592,022,720,576/747,966
  6. Step 6: Final answer
    x = 3,465,428.54

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.