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Finding the Third Proportional to 668,192 and 965,424

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Solution

The third proportional to 668,192 and 965,424 is: 1,394,873.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,192 : 965,424 = 965,424 : x
  2. Step 2: Convert to fraction form
    668,192/965,424 = 965,424/x
  3. Step 3: Cross multiply
    668,192x = 965,424 × 965,424
  4. Step 4: Simplify right side
    668,192x = 932,043,499,776
  5. Step 5: Solve for x
    x = 932,043,499,776/668,192
  6. Step 6: Final answer
    x = 1,394,873.78

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.