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Finding the Third Proportional to 1,279,338.19 and 2,782,878.75

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Solution

The third proportional to 1,279,338.19 and 2,782,878.75 is: 6,053,453.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279,338.19 : 2,782,878.75 = 2,782,878.75 : x
  2. Step 2: Convert to fraction form
    1,279,338.19/2,782,878.75 = 2,782,878.75/x
  3. Step 3: Cross multiply
    1,279,338.19x = 2,782,878.75 × 2,782,878.75
  4. Step 4: Simplify right side
    1,279,338.19x = 7,744,414,137,201.56
  5. Step 5: Solve for x
    x = 7,744,414,137,201.56/1,279,338.19
  6. Step 6: Final answer
    x = 6,053,453.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.