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Finding the Third Proportional to 752,169 and 1,609,287

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Solution

The third proportional to 752,169 and 1,609,287 is: 3,443,115.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,169 : 1,609,287 = 1,609,287 : x
  2. Step 2: Convert to fraction form
    752,169/1,609,287 = 1,609,287/x
  3. Step 3: Cross multiply
    752,169x = 1,609,287 × 1,609,287
  4. Step 4: Simplify right side
    752,169x = 2,589,804,648,369
  5. Step 5: Solve for x
    x = 2,589,804,648,369/752,169
  6. Step 6: Final answer
    x = 3,443,115.37

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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.