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Finding the Third Proportional to 1,023,147 and 1,605,069

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Solution

The third proportional to 1,023,147 and 1,605,069 is: 2,517,963.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,147 : 1,605,069 = 1,605,069 : x
  2. Step 2: Convert to fraction form
    1,023,147/1,605,069 = 1,605,069/x
  3. Step 3: Cross multiply
    1,023,147x = 1,605,069 × 1,605,069
  4. Step 4: Simplify right side
    1,023,147x = 2,576,246,494,761
  5. Step 5: Solve for x
    x = 2,576,246,494,761/1,023,147
  6. Step 6: Final answer
    x = 2,517,963.20

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.