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Finding the Third Proportional to 960,150.75 and 2,057,252.44

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Solution

The third proportional to 960,150.75 and 2,057,252.44 is: 4,407,940.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,150.75 : 2,057,252.44 = 2,057,252.44 : x
  2. Step 2: Convert to fraction form
    960,150.75/2,057,252.44 = 2,057,252.44/x
  3. Step 3: Cross multiply
    960,150.75x = 2,057,252.44 × 2,057,252.44
  4. Step 4: Simplify right side
    960,150.75x = 4,232,287,591,599.69
  5. Step 5: Solve for x
    x = 4,232,287,591,599.69/960,150.75
  6. Step 6: Final answer
    x = 4,407,940.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.