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Finding the Third Proportional to 667,399.50 and 1,574,685.56

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Solution

The third proportional to 667,399.50 and 1,574,685.56 is: 3,715,367.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,399.50 : 1,574,685.56 = 1,574,685.56 : x
  2. Step 2: Convert to fraction form
    667,399.50/1,574,685.56 = 1,574,685.56/x
  3. Step 3: Cross multiply
    667,399.50x = 1,574,685.56 × 1,574,685.56
  4. Step 4: Simplify right side
    667,399.50x = 2,479,634,620,745.94
  5. Step 5: Solve for x
    x = 2,479,634,620,745.94/667,399.50
  6. Step 6: Final answer
    x = 3,715,367.81

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.