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Finding the Third Proportional to 733,567 and 1,555,451

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Solution

The third proportional to 733,567 and 1,555,451 is: 3,298,168.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,567 : 1,555,451 = 1,555,451 : x
  2. Step 2: Convert to fraction form
    733,567/1,555,451 = 1,555,451/x
  3. Step 3: Cross multiply
    733,567x = 1,555,451 × 1,555,451
  4. Step 4: Simplify right side
    733,567x = 2,419,427,813,401
  5. Step 5: Solve for x
    x = 2,419,427,813,401/733,567
  6. Step 6: Final answer
    x = 3,298,168.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.