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Finding the Third Proportional to 408,738 and 954,690

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Solution

The third proportional to 408,738 and 954,690 is: 2,229,870.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,738 : 954,690 = 954,690 : x
  2. Step 2: Convert to fraction form
    408,738/954,690 = 954,690/x
  3. Step 3: Cross multiply
    408,738x = 954,690 × 954,690
  4. Step 4: Simplify right side
    408,738x = 911,432,996,100
  5. Step 5: Solve for x
    x = 911,432,996,100/408,738
  6. Step 6: Final answer
    x = 2,229,870.96

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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.