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Finding the Third Proportional to 644,104.13 and 1,376,781.75

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Solution

The third proportional to 644,104.13 and 1,376,781.75 is: 2,942,890.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,104.13 : 1,376,781.75 = 1,376,781.75 : x
  2. Step 2: Convert to fraction form
    644,104.13/1,376,781.75 = 1,376,781.75/x
  3. Step 3: Cross multiply
    644,104.13x = 1,376,781.75 × 1,376,781.75
  4. Step 4: Simplify right side
    644,104.13x = 1,895,527,987,133.06
  5. Step 5: Solve for x
    x = 1,895,527,987,133.06/644,104.13
  6. Step 6: Final answer
    x = 2,942,890.62

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.