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Finding the Third Proportional to 1,959,577.50 and 2,707,782

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Solution

The third proportional to 1,959,577.50 and 2,707,782 is: 3,741,665.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959,577.50 : 2,707,782 = 2,707,782 : x
  2. Step 2: Convert to fraction form
    1,959,577.50/2,707,782 = 2,707,782/x
  3. Step 3: Cross multiply
    1,959,577.50x = 2,707,782 × 2,707,782
  4. Step 4: Simplify right side
    1,959,577.50x = 7,332,083,359,524
  5. Step 5: Solve for x
    x = 7,332,083,359,524/1,959,577.50
  6. Step 6: Final answer
    x = 3,741,665.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.