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Finding the Third Proportional to 445,601.25 and 906,921.56

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Solution

The third proportional to 445,601.25 and 906,921.56 is: 1,845,835.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,601.25 : 906,921.56 = 906,921.56 : x
  2. Step 2: Convert to fraction form
    445,601.25/906,921.56 = 906,921.56/x
  3. Step 3: Cross multiply
    445,601.25x = 906,921.56 × 906,921.56
  4. Step 4: Simplify right side
    445,601.25x = 822,506,720,527.44
  5. Step 5: Solve for x
    x = 822,506,720,527.44/445,601.25
  6. Step 6: Final answer
    x = 1,845,835.76

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Why These Related Problems?

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