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Finding the Third Proportional to 1,174,343.50 and 2,255,375

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Solution

The third proportional to 1,174,343.50 and 2,255,375 is: 4,331,540.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174,343.50 : 2,255,375 = 2,255,375 : x
  2. Step 2: Convert to fraction form
    1,174,343.50/2,255,375 = 2,255,375/x
  3. Step 3: Cross multiply
    1,174,343.50x = 2,255,375 × 2,255,375
  4. Step 4: Simplify right side
    1,174,343.50x = 5,086,716,390,625
  5. Step 5: Solve for x
    x = 5,086,716,390,625/1,174,343.50
  6. Step 6: Final answer
    x = 4,331,540.47

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.