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Finding the Third Proportional to 436,191 and 939,198

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Solution

The third proportional to 436,191 and 939,198 is: 2,022,262.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,191 : 939,198 = 939,198 : x
  2. Step 2: Convert to fraction form
    436,191/939,198 = 939,198/x
  3. Step 3: Cross multiply
    436,191x = 939,198 × 939,198
  4. Step 4: Simplify right side
    436,191x = 882,092,883,204
  5. Step 5: Solve for x
    x = 882,092,883,204/436,191
  6. Step 6: Final answer
    x = 2,022,262.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.