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Finding the Third Proportional to 950,227.50 and 2,048,982

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Solution

The third proportional to 950,227.50 and 2,048,982 is: 4,418,233.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    950,227.50 : 2,048,982 = 2,048,982 : x
  2. Step 2: Convert to fraction form
    950,227.50/2,048,982 = 2,048,982/x
  3. Step 3: Cross multiply
    950,227.50x = 2,048,982 × 2,048,982
  4. Step 4: Simplify right side
    950,227.50x = 4,198,327,236,324
  5. Step 5: Solve for x
    x = 4,198,327,236,324/950,227.50
  6. Step 6: Final answer
    x = 4,418,233.78

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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.