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Finding the Third Proportional to 412,171 and 896,923

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Solution

The third proportional to 412,171 and 896,923 is: 1,951,789.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,171 : 896,923 = 896,923 : x
  2. Step 2: Convert to fraction form
    412,171/896,923 = 896,923/x
  3. Step 3: Cross multiply
    412,171x = 896,923 × 896,923
  4. Step 4: Simplify right side
    412,171x = 804,470,867,929
  5. Step 5: Solve for x
    x = 804,470,867,929/412,171
  6. Step 6: Final answer
    x = 1,951,789.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.