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Finding the Third Proportional to 731,190 and 1,555,500

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Solution

The third proportional to 731,190 and 1,555,500 is: 3,309,099.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,190 : 1,555,500 = 1,555,500 : x
  2. Step 2: Convert to fraction form
    731,190/1,555,500 = 1,555,500/x
  3. Step 3: Cross multiply
    731,190x = 1,555,500 × 1,555,500
  4. Step 4: Simplify right side
    731,190x = 2,419,580,250,000
  5. Step 5: Solve for x
    x = 2,419,580,250,000/731,190
  6. Step 6: Final answer
    x = 3,309,099.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.