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Finding the Third Proportional to 752,143.50 and 1,609,263

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Solution

The third proportional to 752,143.50 and 1,609,263 is: 3,443,129.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,143.50 : 1,609,263 = 1,609,263 : x
  2. Step 2: Convert to fraction form
    752,143.50/1,609,263 = 1,609,263/x
  3. Step 3: Cross multiply
    752,143.50x = 1,609,263 × 1,609,263
  4. Step 4: Simplify right side
    752,143.50x = 2,589,727,403,169
  5. Step 5: Solve for x
    x = 2,589,727,403,169/752,143.50
  6. Step 6: Final answer
    x = 3,443,129.41

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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.