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Finding the Third Proportional to 401,610 and 873,198

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Solution

The third proportional to 401,610 and 873,198 is: 1,898,545.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,610 : 873,198 = 873,198 : x
  2. Step 2: Convert to fraction form
    401,610/873,198 = 873,198/x
  3. Step 3: Cross multiply
    401,610x = 873,198 × 873,198
  4. Step 4: Simplify right side
    401,610x = 762,474,747,204
  5. Step 5: Solve for x
    x = 762,474,747,204/401,610
  6. Step 6: Final answer
    x = 1,898,545.22

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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.