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Finding the Third Proportional to 927,414 and 1,954,449

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Solution

The third proportional to 927,414 and 1,954,449 is: 4,118,841.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,414 : 1,954,449 = 1,954,449 : x
  2. Step 2: Convert to fraction form
    927,414/1,954,449 = 1,954,449/x
  3. Step 3: Cross multiply
    927,414x = 1,954,449 × 1,954,449
  4. Step 4: Simplify right side
    927,414x = 3,819,870,893,601
  5. Step 5: Solve for x
    x = 3,819,870,893,601/927,414
  6. Step 6: Final answer
    x = 4,118,841.09

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.