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Finding the Third Proportional to 768,691 and 1,123,414

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Solution

The third proportional to 768,691 and 1,123,414 is: 1,641,828.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,691 : 1,123,414 = 1,123,414 : x
  2. Step 2: Convert to fraction form
    768,691/1,123,414 = 1,123,414/x
  3. Step 3: Cross multiply
    768,691x = 1,123,414 × 1,123,414
  4. Step 4: Simplify right side
    768,691x = 1,262,059,015,396
  5. Step 5: Solve for x
    x = 1,262,059,015,396/768,691
  6. Step 6: Final answer
    x = 1,641,828.79

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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.