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Finding the Third Proportional to 1,524,775.50 and 3,175,866

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Solution

The third proportional to 1,524,775.50 and 3,175,866 is: 6,614,826.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524,775.50 : 3,175,866 = 3,175,866 : x
  2. Step 2: Convert to fraction form
    1,524,775.50/3,175,866 = 3,175,866/x
  3. Step 3: Cross multiply
    1,524,775.50x = 3,175,866 × 3,175,866
  4. Step 4: Simplify right side
    1,524,775.50x = 10,086,124,849,956
  5. Step 5: Solve for x
    x = 10,086,124,849,956/1,524,775.50
  6. Step 6: Final answer
    x = 6,614,826.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.