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Finding the Third Proportional to 927,767 and 1,306,474

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Solution

The third proportional to 927,767 and 1,306,474 is: 1,839,766.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,767 : 1,306,474 = 1,306,474 : x
  2. Step 2: Convert to fraction form
    927,767/1,306,474 = 1,306,474/x
  3. Step 3: Cross multiply
    927,767x = 1,306,474 × 1,306,474
  4. Step 4: Simplify right side
    927,767x = 1,706,874,312,676
  5. Step 5: Solve for x
    x = 1,706,874,312,676/927,767
  6. Step 6: Final answer
    x = 1,839,766.14

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.