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Finding the Third Proportional to 961,215.75 and 2,269,040.20

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Solution

The third proportional to 961,215.75 and 2,269,040.20 is: 5,356,282.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,215.75 : 2,269,040.20 = 2,269,040.20 : x
  2. Step 2: Convert to fraction form
    961,215.75/2,269,040.20 = 2,269,040.20/x
  3. Step 3: Cross multiply
    961,215.75x = 2,269,040.20 × 2,269,040.20
  4. Step 4: Simplify right side
    961,215.75x = 5,148,543,443,397.54
  5. Step 5: Solve for x
    x = 5,148,543,443,397.54/961,215.75
  6. Step 6: Final answer
    x = 5,356,282.86

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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.