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Finding the Third Proportional to 395,117 and 853,414

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Solution

The third proportional to 395,117 and 853,414 is: 1,843,290.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,117 : 853,414 = 853,414 : x
  2. Step 2: Convert to fraction form
    395,117/853,414 = 853,414/x
  3. Step 3: Cross multiply
    395,117x = 853,414 × 853,414
  4. Step 4: Simplify right side
    395,117x = 728,315,455,396
  5. Step 5: Solve for x
    x = 728,315,455,396/395,117
  6. Step 6: Final answer
    x = 1,843,290.61

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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.