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Finding the Third Proportional to 1,822,972.50 and 3,928,561

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Solution

The third proportional to 1,822,972.50 and 3,928,561 is: 8,466,168.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822,972.50 : 3,928,561 = 3,928,561 : x
  2. Step 2: Convert to fraction form
    1,822,972.50/3,928,561 = 3,928,561/x
  3. Step 3: Cross multiply
    1,822,972.50x = 3,928,561 × 3,928,561
  4. Step 4: Simplify right side
    1,822,972.50x = 15,433,591,530,721
  5. Step 5: Solve for x
    x = 15,433,591,530,721/1,822,972.50
  6. Step 6: Final answer
    x = 8,466,168.05

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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.