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Finding the Third Proportional to 440,960.20 and 965,997.14

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Solution

The third proportional to 440,960.20 and 965,997.14 is: 2,116,178.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,960.20 : 965,997.14 = 965,997.14 : x
  2. Step 2: Convert to fraction form
    440,960.20/965,997.14 = 965,997.14/x
  3. Step 3: Cross multiply
    440,960.20x = 965,997.14 × 965,997.14
  4. Step 4: Simplify right side
    440,960.20x = 933,150,475,695.68
  5. Step 5: Solve for x
    x = 933,150,475,695.68/440,960.20
  6. Step 6: Final answer
    x = 2,116,178.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.