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Finding the Third Proportional to 408,882 and 955,074

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Solution

The third proportional to 408,882 and 955,074 is: 2,230,879.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,882 : 955,074 = 955,074 : x
  2. Step 2: Convert to fraction form
    408,882/955,074 = 955,074/x
  3. Step 3: Cross multiply
    408,882x = 955,074 × 955,074
  4. Step 4: Simplify right side
    408,882x = 912,166,345,476
  5. Step 5: Solve for x
    x = 912,166,345,476/408,882
  6. Step 6: Final answer
    x = 2,230,879.19

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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.