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Finding the Third Proportional to 735,132 and 1,592,439

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Solution

The third proportional to 735,132 and 1,592,439 is: 3,449,532.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,132 : 1,592,439 = 1,592,439 : x
  2. Step 2: Convert to fraction form
    735,132/1,592,439 = 1,592,439/x
  3. Step 3: Cross multiply
    735,132x = 1,592,439 × 1,592,439
  4. Step 4: Simplify right side
    735,132x = 2,535,861,968,721
  5. Step 5: Solve for x
    x = 2,535,861,968,721/735,132
  6. Step 6: Final answer
    x = 3,449,532.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.