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Finding the Third Proportional to 391,967 and 855,281

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Solution

The third proportional to 391,967 and 855,281 is: 1,866,242.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,967 : 855,281 = 855,281 : x
  2. Step 2: Convert to fraction form
    391,967/855,281 = 855,281/x
  3. Step 3: Cross multiply
    391,967x = 855,281 × 855,281
  4. Step 4: Simplify right side
    391,967x = 731,505,588,961
  5. Step 5: Solve for x
    x = 731,505,588,961/391,967
  6. Step 6: Final answer
    x = 1,866,242.79

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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.