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Finding the Third Proportional to 1,560,769.50 and 3,419,791.13

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Solution

The third proportional to 1,560,769.50 and 3,419,791.13 is: 7,493,080.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560,769.50 : 3,419,791.13 = 3,419,791.13 : x
  2. Step 2: Convert to fraction form
    1,560,769.50/3,419,791.13 = 3,419,791.13/x
  3. Step 3: Cross multiply
    1,560,769.50x = 3,419,791.13 × 3,419,791.13
  4. Step 4: Simplify right side
    1,560,769.50x = 11,694,971,338,628.77
  5. Step 5: Solve for x
    x = 11,694,971,338,628.77/1,560,769.50
  6. Step 6: Final answer
    x = 7,493,080.39

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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.