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Finding the Third Proportional to 408,734 and 954,684

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Solution

The third proportional to 408,734 and 954,684 is: 2,229,864.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,734 : 954,684 = 954,684 : x
  2. Step 2: Convert to fraction form
    408,734/954,684 = 954,684/x
  3. Step 3: Cross multiply
    408,734x = 954,684 × 954,684
  4. Step 4: Simplify right side
    408,734x = 911,421,539,856
  5. Step 5: Solve for x
    x = 911,421,539,856/408,734
  6. Step 6: Final answer
    x = 2,229,864.75

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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.