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Finding the Third Proportional to 762,132 and 1,609,800

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Solution

The third proportional to 762,132 and 1,609,800 is: 3,400,271.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,132 : 1,609,800 = 1,609,800 : x
  2. Step 2: Convert to fraction form
    762,132/1,609,800 = 1,609,800/x
  3. Step 3: Cross multiply
    762,132x = 1,609,800 × 1,609,800
  4. Step 4: Simplify right side
    762,132x = 2,591,456,040,000
  5. Step 5: Solve for x
    x = 2,591,456,040,000/762,132
  6. Step 6: Final answer
    x = 3,400,271.92

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.