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Finding the Third Proportional to 401,593 and 873,171

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Solution

The third proportional to 401,593 and 873,171 is: 1,898,508.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,593 : 873,171 = 873,171 : x
  2. Step 2: Convert to fraction form
    401,593/873,171 = 873,171/x
  3. Step 3: Cross multiply
    401,593x = 873,171 × 873,171
  4. Step 4: Simplify right side
    401,593x = 762,427,595,241
  5. Step 5: Solve for x
    x = 762,427,595,241/401,593
  6. Step 6: Final answer
    x = 1,898,508.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.