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Finding the Third Proportional to 1,451,198.53 and 3,388,793.20

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Solution

The third proportional to 1,451,198.53 and 3,388,793.20 is: 7,913,403.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451,198.53 : 3,388,793.20 = 3,388,793.20 : x
  2. Step 2: Convert to fraction form
    1,451,198.53/3,388,793.20 = 3,388,793.20/x
  3. Step 3: Cross multiply
    1,451,198.53x = 3,388,793.20 × 3,388,793.20
  4. Step 4: Simplify right side
    1,451,198.53x = 11,483,919,373,546.20
  5. Step 5: Solve for x
    x = 11,483,919,373,546.20/1,451,198.53
  6. Step 6: Final answer
    x = 7,913,403.39

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.