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Finding the Third Proportional to 1,327,126.50 and 2,902,626

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Solution

The third proportional to 1,327,126.50 and 2,902,626 is: 6,348,481.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327,126.50 : 2,902,626 = 2,902,626 : x
  2. Step 2: Convert to fraction form
    1,327,126.50/2,902,626 = 2,902,626/x
  3. Step 3: Cross multiply
    1,327,126.50x = 2,902,626 × 2,902,626
  4. Step 4: Simplify right side
    1,327,126.50x = 8,425,237,695,876
  5. Step 5: Solve for x
    x = 8,425,237,695,876/1,327,126.50
  6. Step 6: Final answer
    x = 6,348,481.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.