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Finding the Third Proportional to 445,138.88 and 906,009.75

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Solution

The third proportional to 445,138.88 and 906,009.75 is: 1,844,039.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,138.88 : 906,009.75 = 906,009.75 : x
  2. Step 2: Convert to fraction form
    445,138.88/906,009.75 = 906,009.75/x
  3. Step 3: Cross multiply
    445,138.88x = 906,009.75 × 906,009.75
  4. Step 4: Simplify right side
    445,138.88x = 820,853,667,095.06
  5. Step 5: Solve for x
    x = 820,853,667,095.06/445,138.88
  6. Step 6: Final answer
    x = 1,844,039.50

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.