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Finding the Third Proportional to 724,534 and 1,592,491

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Solution

The third proportional to 724,534 and 1,592,491 is: 3,500,218.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,534 : 1,592,491 = 1,592,491 : x
  2. Step 2: Convert to fraction form
    724,534/1,592,491 = 1,592,491/x
  3. Step 3: Cross multiply
    724,534x = 1,592,491 × 1,592,491
  4. Step 4: Simplify right side
    724,534x = 2,536,027,585,081
  5. Step 5: Solve for x
    x = 2,536,027,585,081/724,534
  6. Step 6: Final answer
    x = 3,500,218.88

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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.