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Finding the Third Proportional to 732,676 and 1,162,374

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Solution

The third proportional to 732,676 and 1,162,374 is: 1,844,080.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,676 : 1,162,374 = 1,162,374 : x
  2. Step 2: Convert to fraction form
    732,676/1,162,374 = 1,162,374/x
  3. Step 3: Cross multiply
    732,676x = 1,162,374 × 1,162,374
  4. Step 4: Simplify right side
    732,676x = 1,351,113,315,876
  5. Step 5: Solve for x
    x = 1,351,113,315,876/732,676
  6. Step 6: Final answer
    x = 1,844,080.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.