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Finding the Third Proportional to 1,206,498.38 and 1,769,151.38

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Solution

The third proportional to 1,206,498.38 and 1,769,151.38 is: 2,594,198.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206,498.38 : 1,769,151.38 = 1,769,151.38 : x
  2. Step 2: Convert to fraction form
    1,206,498.38/1,769,151.38 = 1,769,151.38/x
  3. Step 3: Cross multiply
    1,206,498.38x = 1,769,151.38 × 1,769,151.38
  4. Step 4: Simplify right side
    1,206,498.38x = 3,129,896,587,664.39
  5. Step 5: Solve for x
    x = 3,129,896,587,664.39/1,206,498.38
  6. Step 6: Final answer
    x = 2,594,198.76

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.