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Finding the Third Proportional to 1,354,909 and 1,981,474

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Solution

The third proportional to 1,354,909 and 1,981,474 is: 2,897,788.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354,909 : 1,981,474 = 1,981,474 : x
  2. Step 2: Convert to fraction form
    1,354,909/1,981,474 = 1,981,474/x
  3. Step 3: Cross multiply
    1,354,909x = 1,981,474 × 1,981,474
  4. Step 4: Simplify right side
    1,354,909x = 3,926,239,212,676
  5. Step 5: Solve for x
    x = 3,926,239,212,676/1,354,909
  6. Step 6: Final answer
    x = 2,897,788.13

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.