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Finding the Third Proportional to 1,145,934 and 2,428,468

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Solution

The third proportional to 1,145,934 and 2,428,468 is: 5,146,419.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145,934 : 2,428,468 = 2,428,468 : x
  2. Step 2: Convert to fraction form
    1,145,934/2,428,468 = 2,428,468/x
  3. Step 3: Cross multiply
    1,145,934x = 2,428,468 × 2,428,468
  4. Step 4: Simplify right side
    1,145,934x = 5,897,456,827,024
  5. Step 5: Solve for x
    x = 5,897,456,827,024/1,145,934
  6. Step 6: Final answer
    x = 5,146,419.28

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.