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Finding the Third Proportional to 2,147,458.50 and 4,672,782

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Solution

The third proportional to 2,147,458.50 and 4,672,782 is: 10,167,782.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147,458.50 : 4,672,782 = 4,672,782 : x
  2. Step 2: Convert to fraction form
    2,147,458.50/4,672,782 = 4,672,782/x
  3. Step 3: Cross multiply
    2,147,458.50x = 4,672,782 × 4,672,782
  4. Step 4: Simplify right side
    2,147,458.50x = 21,834,891,619,524
  5. Step 5: Solve for x
    x = 21,834,891,619,524/2,147,458.50
  6. Step 6: Final answer
    x = 10,167,782.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.