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Finding the Third Proportional to 1,769,651.44 and 3,876,945.19

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Solution

The third proportional to 1,769,651.44 and 3,876,945.19 is: 8,493,595.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769,651.44 : 3,876,945.19 = 3,876,945.19 : x
  2. Step 2: Convert to fraction form
    1,769,651.44/3,876,945.19 = 3,876,945.19/x
  3. Step 3: Cross multiply
    1,769,651.44x = 3,876,945.19 × 3,876,945.19
  4. Step 4: Simplify right side
    1,769,651.44x = 15,030,703,986,879.41
  5. Step 5: Solve for x
    x = 15,030,703,986,879.41/1,769,651.44
  6. Step 6: Final answer
    x = 8,493,595.78

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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.