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Finding the Third Proportional to 967,234.50 and 2,275,080.75

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Solution

The third proportional to 967,234.50 and 2,275,080.75 is: 5,351,331.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,234.50 : 2,275,080.75 = 2,275,080.75 : x
  2. Step 2: Convert to fraction form
    967,234.50/2,275,080.75 = 2,275,080.75/x
  3. Step 3: Cross multiply
    967,234.50x = 2,275,080.75 × 2,275,080.75
  4. Step 4: Simplify right side
    967,234.50x = 5,175,992,419,020.56
  5. Step 5: Solve for x
    x = 5,175,992,419,020.56/967,234.50
  6. Step 6: Final answer
    x = 5,351,331.47

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.