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Finding the Third Proportional to 401,571 and 873,102

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Solution

The third proportional to 401,571 and 873,102 is: 1,898,312.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,571 : 873,102 = 873,102 : x
  2. Step 2: Convert to fraction form
    401,571/873,102 = 873,102/x
  3. Step 3: Cross multiply
    401,571x = 873,102 × 873,102
  4. Step 4: Simplify right side
    401,571x = 762,307,102,404
  5. Step 5: Solve for x
    x = 762,307,102,404/401,571
  6. Step 6: Final answer
    x = 1,898,312.14

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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.