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Finding the Third Proportional to 448,928 and 985,087

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Solution

The third proportional to 448,928 and 985,087 is: 2,161,585.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,928 : 985,087 = 985,087 : x
  2. Step 2: Convert to fraction form
    448,928/985,087 = 985,087/x
  3. Step 3: Cross multiply
    448,928x = 985,087 × 985,087
  4. Step 4: Simplify right side
    448,928x = 970,396,397,569
  5. Step 5: Solve for x
    x = 970,396,397,569/448,928
  6. Step 6: Final answer
    x = 2,161,585.82

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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.