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Finding the Third Proportional to 819,469 and 1,788,374

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Solution

The third proportional to 819,469 and 1,788,374 is: 3,902,870.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,469 : 1,788,374 = 1,788,374 : x
  2. Step 2: Convert to fraction form
    819,469/1,788,374 = 1,788,374/x
  3. Step 3: Cross multiply
    819,469x = 1,788,374 × 1,788,374
  4. Step 4: Simplify right side
    819,469x = 3,198,281,563,876
  5. Step 5: Solve for x
    x = 3,198,281,563,876/819,469
  6. Step 6: Final answer
    x = 3,902,870.72

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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.