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Finding the Third Proportional to 2,172,575.25 and 4,770,481.50

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Solution

The third proportional to 2,172,575.25 and 4,770,481.50 is: 10,474,893.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172,575.25 : 4,770,481.50 = 4,770,481.50 : x
  2. Step 2: Convert to fraction form
    2,172,575.25/4,770,481.50 = 4,770,481.50/x
  3. Step 3: Cross multiply
    2,172,575.25x = 4,770,481.50 × 4,770,481.50
  4. Step 4: Simplify right side
    2,172,575.25x = 22,757,493,741,842.25
  5. Step 5: Solve for x
    x = 22,757,493,741,842.25/2,172,575.25
  6. Step 6: Final answer
    x = 10,474,893.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.