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Finding the Third Proportional to 395,469 and 853,146

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Solution

The third proportional to 395,469 and 853,146 is: 1,840,493.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,469 : 853,146 = 853,146 : x
  2. Step 2: Convert to fraction form
    395,469/853,146 = 853,146/x
  3. Step 3: Cross multiply
    395,469x = 853,146 × 853,146
  4. Step 4: Simplify right side
    395,469x = 727,858,097,316
  5. Step 5: Solve for x
    x = 727,858,097,316/395,469
  6. Step 6: Final answer
    x = 1,840,493.43

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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.