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Finding the Third Proportional to 441,764 and 960,856

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Solution

The third proportional to 441,764 and 960,856 is: 2,089,903.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,764 : 960,856 = 960,856 : x
  2. Step 2: Convert to fraction form
    441,764/960,856 = 960,856/x
  3. Step 3: Cross multiply
    441,764x = 960,856 × 960,856
  4. Step 4: Simplify right side
    441,764x = 923,244,252,736
  5. Step 5: Solve for x
    x = 923,244,252,736/441,764
  6. Step 6: Final answer
    x = 2,089,903.78

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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.