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Finding the Third Proportional to 801,869 and 1,744,900

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Solution

The third proportional to 801,869 and 1,744,900 is: 3,796,974.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,869 : 1,744,900 = 1,744,900 : x
  2. Step 2: Convert to fraction form
    801,869/1,744,900 = 1,744,900/x
  3. Step 3: Cross multiply
    801,869x = 1,744,900 × 1,744,900
  4. Step 4: Simplify right side
    801,869x = 3,044,676,010,000
  5. Step 5: Solve for x
    x = 3,044,676,010,000/801,869
  6. Step 6: Final answer
    x = 3,796,974.33

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.