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Finding the Third Proportional to 391,536 and 854,112

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Solution

The third proportional to 391,536 and 854,112 is: 1,863,193.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,536 : 854,112 = 854,112 : x
  2. Step 2: Convert to fraction form
    391,536/854,112 = 854,112/x
  3. Step 3: Cross multiply
    391,536x = 854,112 × 854,112
  4. Step 4: Simplify right side
    391,536x = 729,507,308,544
  5. Step 5: Solve for x
    x = 729,507,308,544/391,536
  6. Step 6: Final answer
    x = 1,863,193.44

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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.