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Finding the Third Proportional to 458,162 and 986,235

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Solution

The third proportional to 458,162 and 986,235 is: 2,122,959.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,162 : 986,235 = 986,235 : x
  2. Step 2: Convert to fraction form
    458,162/986,235 = 986,235/x
  3. Step 3: Cross multiply
    458,162x = 986,235 × 986,235
  4. Step 4: Simplify right side
    458,162x = 972,659,475,225
  5. Step 5: Solve for x
    x = 972,659,475,225/458,162
  6. Step 6: Final answer
    x = 2,122,959.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.