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Finding the Third Proportional to 395,003 and 837,067

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Solution

The third proportional to 395,003 and 837,067 is: 1,773,862.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,003 : 837,067 = 837,067 : x
  2. Step 2: Convert to fraction form
    395,003/837,067 = 837,067/x
  3. Step 3: Cross multiply
    395,003x = 837,067 × 837,067
  4. Step 4: Simplify right side
    395,003x = 700,681,162,489
  5. Step 5: Solve for x
    x = 700,681,162,489/395,003
  6. Step 6: Final answer
    x = 1,773,862.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.