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Finding the Third Proportional to 441,759 and 960,846

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Solution

The third proportional to 441,759 and 960,846 is: 2,089,883.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,759 : 960,846 = 960,846 : x
  2. Step 2: Convert to fraction form
    441,759/960,846 = 960,846/x
  3. Step 3: Cross multiply
    441,759x = 960,846 × 960,846
  4. Step 4: Simplify right side
    441,759x = 923,225,035,716
  5. Step 5: Solve for x
    x = 923,225,035,716/441,759
  6. Step 6: Final answer
    x = 2,089,883.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.