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Finding the Third Proportional to 1,265,227.50 and 2,732,811

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Solution

The third proportional to 1,265,227.50 and 2,732,811 is: 5,902,698.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265,227.50 : 2,732,811 = 2,732,811 : x
  2. Step 2: Convert to fraction form
    1,265,227.50/2,732,811 = 2,732,811/x
  3. Step 3: Cross multiply
    1,265,227.50x = 2,732,811 × 2,732,811
  4. Step 4: Simplify right side
    1,265,227.50x = 7,468,255,961,721
  5. Step 5: Solve for x
    x = 7,468,255,961,721/1,265,227.50
  6. Step 6: Final answer
    x = 5,902,698.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.