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Finding the Third Proportional to 395,126 and 853,434

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Solution

The third proportional to 395,126 and 853,434 is: 1,843,335.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,126 : 853,434 = 853,434 : x
  2. Step 2: Convert to fraction form
    395,126/853,434 = 853,434/x
  3. Step 3: Cross multiply
    395,126x = 853,434 × 853,434
  4. Step 4: Simplify right side
    395,126x = 728,349,592,356
  5. Step 5: Solve for x
    x = 728,349,592,356/395,126
  6. Step 6: Final answer
    x = 1,843,335.02

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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.