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Finding the Third Proportional to 675,801 and 944,811

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Solution

The third proportional to 675,801 and 944,811 is: 1,320,903.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,801 : 944,811 = 944,811 : x
  2. Step 2: Convert to fraction form
    675,801/944,811 = 944,811/x
  3. Step 3: Cross multiply
    675,801x = 944,811 × 944,811
  4. Step 4: Simplify right side
    675,801x = 892,667,825,721
  5. Step 5: Solve for x
    x = 892,667,825,721/675,801
  6. Step 6: Final answer
    x = 1,320,903.38

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.