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Finding the Third Proportional to 1,354,178.25 and 1,981,428.75

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Solution

The third proportional to 1,354,178.25 and 1,981,428.75 is: 2,899,219.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354,178.25 : 1,981,428.75 = 1,981,428.75 : x
  2. Step 2: Convert to fraction form
    1,354,178.25/1,981,428.75 = 1,981,428.75/x
  3. Step 3: Cross multiply
    1,354,178.25x = 1,981,428.75 × 1,981,428.75
  4. Step 4: Simplify right side
    1,354,178.25x = 3,926,059,891,326.56
  5. Step 5: Solve for x
    x = 3,926,059,891,326.56/1,354,178.25
  6. Step 6: Final answer
    x = 2,899,219.43

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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.