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Finding the Third Proportional to 439,228 and 959,012

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Solution

The third proportional to 439,228 and 959,012 is: 2,093,910.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,228 : 959,012 = 959,012 : x
  2. Step 2: Convert to fraction form
    439,228/959,012 = 959,012/x
  3. Step 3: Cross multiply
    439,228x = 959,012 × 959,012
  4. Step 4: Simplify right side
    439,228x = 919,704,016,144
  5. Step 5: Solve for x
    x = 919,704,016,144/439,228
  6. Step 6: Final answer
    x = 2,093,910.26

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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.