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Finding the Third Proportional to 1,145,944 and 2,428,496

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Solution

The third proportional to 1,145,944 and 2,428,496 is: 5,146,493.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145,944 : 2,428,496 = 2,428,496 : x
  2. Step 2: Convert to fraction form
    1,145,944/2,428,496 = 2,428,496/x
  3. Step 3: Cross multiply
    1,145,944x = 2,428,496 × 2,428,496
  4. Step 4: Simplify right side
    1,145,944x = 5,897,592,822,016
  5. Step 5: Solve for x
    x = 5,897,592,822,016/1,145,944
  6. Step 6: Final answer
    x = 5,146,493.04

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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.