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Finding the Third Proportional to 534,892 and 1,175,192

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Solution

The third proportional to 534,892 and 1,175,192 is: 2,581,972.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,892 : 1,175,192 = 1,175,192 : x
  2. Step 2: Convert to fraction form
    534,892/1,175,192 = 1,175,192/x
  3. Step 3: Cross multiply
    534,892x = 1,175,192 × 1,175,192
  4. Step 4: Simplify right side
    534,892x = 1,381,076,236,864
  5. Step 5: Solve for x
    x = 1,381,076,236,864/534,892
  6. Step 6: Final answer
    x = 2,581,972.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.