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Finding the Third Proportional to 395,463 and 853,134

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Solution

The third proportional to 395,463 and 853,134 is: 1,840,469.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,463 : 853,134 = 853,134 : x
  2. Step 2: Convert to fraction form
    395,463/853,134 = 853,134/x
  3. Step 3: Cross multiply
    395,463x = 853,134 × 853,134
  4. Step 4: Simplify right side
    395,463x = 727,837,621,956
  5. Step 5: Solve for x
    x = 727,837,621,956/395,463
  6. Step 6: Final answer
    x = 1,840,469.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.