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Finding the Third Proportional to 408,802 and 954,858

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Solution

The third proportional to 408,802 and 954,858 is: 2,230,306.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,802 : 954,858 = 954,858 : x
  2. Step 2: Convert to fraction form
    408,802/954,858 = 954,858/x
  3. Step 3: Cross multiply
    408,802x = 954,858 × 954,858
  4. Step 4: Simplify right side
    408,802x = 911,753,800,164
  5. Step 5: Solve for x
    x = 911,753,800,164/408,802
  6. Step 6: Final answer
    x = 2,230,306.60

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.