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Finding the Third Proportional to 395,857 and 853,923

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Solution

The third proportional to 395,857 and 853,923 is: 1,842,040.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,857 : 853,923 = 853,923 : x
  2. Step 2: Convert to fraction form
    395,857/853,923 = 853,923/x
  3. Step 3: Cross multiply
    395,857x = 853,923 × 853,923
  4. Step 4: Simplify right side
    395,857x = 729,184,489,929
  5. Step 5: Solve for x
    x = 729,184,489,929/395,857
  6. Step 6: Final answer
    x = 1,842,040.16

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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.