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Finding the Third Proportional to 412,876.83 and 906,945.61

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Solution

The third proportional to 412,876.83 and 906,945.61 is: 1,992,241.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,876.83 : 906,945.61 = 906,945.61 : x
  2. Step 2: Convert to fraction form
    412,876.83/906,945.61 = 906,945.61/x
  3. Step 3: Cross multiply
    412,876.83x = 906,945.61 × 906,945.61
  4. Step 4: Simplify right side
    412,876.83x = 822,550,338,364.59
  5. Step 5: Solve for x
    x = 822,550,338,364.59/412,876.83
  6. Step 6: Final answer
    x = 1,992,241.47

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.