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Finding the Third Proportional to 523,414 and 1,142,060

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Solution

The third proportional to 523,414 and 1,142,060 is: 2,491,910.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,414 : 1,142,060 = 1,142,060 : x
  2. Step 2: Convert to fraction form
    523,414/1,142,060 = 1,142,060/x
  3. Step 3: Cross multiply
    523,414x = 1,142,060 × 1,142,060
  4. Step 4: Simplify right side
    523,414x = 1,304,301,043,600
  5. Step 5: Solve for x
    x = 1,304,301,043,600/523,414
  6. Step 6: Final answer
    x = 2,491,910.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.