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Finding the Third Proportional to 960,351.75 and 2,008,914.75

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Solution

The third proportional to 960,351.75 and 2,008,914.75 is: 4,202,354.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,351.75 : 2,008,914.75 = 2,008,914.75 : x
  2. Step 2: Convert to fraction form
    960,351.75/2,008,914.75 = 2,008,914.75/x
  3. Step 3: Cross multiply
    960,351.75x = 2,008,914.75 × 2,008,914.75
  4. Step 4: Simplify right side
    960,351.75x = 4,035,738,472,767.56
  5. Step 5: Solve for x
    x = 4,035,738,472,767.56/960,351.75
  6. Step 6: Final answer
    x = 4,202,354.47

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.