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Finding the Third Proportional to 752,127 and 1,609,230

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Solution

The third proportional to 752,127 and 1,609,230 is: 3,443,063.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,127 : 1,609,230 = 1,609,230 : x
  2. Step 2: Convert to fraction form
    752,127/1,609,230 = 1,609,230/x
  3. Step 3: Cross multiply
    752,127x = 1,609,230 × 1,609,230
  4. Step 4: Simplify right side
    752,127x = 2,589,621,192,900
  5. Step 5: Solve for x
    x = 2,589,621,192,900/752,127
  6. Step 6: Final answer
    x = 3,443,063.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.