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Finding the Third Proportional to 960,427.13 and 2,223,505.69

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Solution

The third proportional to 960,427.13 and 2,223,505.69 is: 5,147,686.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,427.13 : 2,223,505.69 = 2,223,505.69 : x
  2. Step 2: Convert to fraction form
    960,427.13/2,223,505.69 = 2,223,505.69/x
  3. Step 3: Cross multiply
    960,427.13x = 2,223,505.69 × 2,223,505.69
  4. Step 4: Simplify right side
    960,427.13x = 4,943,977,542,344.85
  5. Step 5: Solve for x
    x = 4,943,977,542,344.85/960,427.13
  6. Step 6: Final answer
    x = 5,147,686.29

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.