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Finding the Third Proportional to 733,170 and 1,533,375

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Solution

The third proportional to 733,170 and 1,533,375 is: 3,206,949.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,170 : 1,533,375 = 1,533,375 : x
  2. Step 2: Convert to fraction form
    733,170/1,533,375 = 1,533,375/x
  3. Step 3: Cross multiply
    733,170x = 1,533,375 × 1,533,375
  4. Step 4: Simplify right side
    733,170x = 2,351,238,890,625
  5. Step 5: Solve for x
    x = 2,351,238,890,625/733,170
  6. Step 6: Final answer
    x = 3,206,949.13

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.