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Finding the Third Proportional to 697,432 and 1,077,694

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Solution

The third proportional to 697,432 and 1,077,694 is: 1,665,286.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,432 : 1,077,694 = 1,077,694 : x
  2. Step 2: Convert to fraction form
    697,432/1,077,694 = 1,077,694/x
  3. Step 3: Cross multiply
    697,432x = 1,077,694 × 1,077,694
  4. Step 4: Simplify right side
    697,432x = 1,161,424,357,636
  5. Step 5: Solve for x
    x = 1,161,424,357,636/697,432
  6. Step 6: Final answer
    x = 1,665,286.88

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.