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Finding the Third Proportional to 945,163.69 and 1,491,556.78

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Solution

The third proportional to 945,163.69 and 1,491,556.78 is: 2,353,816.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,163.69 : 1,491,556.78 = 1,491,556.78 : x
  2. Step 2: Convert to fraction form
    945,163.69/1,491,556.78 = 1,491,556.78/x
  3. Step 3: Cross multiply
    945,163.69x = 1,491,556.78 × 1,491,556.78
  4. Step 4: Simplify right side
    945,163.69x = 2,224,741,631,692.86
  5. Step 5: Solve for x
    x = 2,224,741,631,692.86/945,163.69
  6. Step 6: Final answer
    x = 2,353,816.23

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.