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Finding the Third Proportional to 622,865 and 962,324

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Solution

The third proportional to 622,865 and 962,324 is: 1,486,786.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,865 : 962,324 = 962,324 : x
  2. Step 2: Convert to fraction form
    622,865/962,324 = 962,324/x
  3. Step 3: Cross multiply
    622,865x = 962,324 × 962,324
  4. Step 4: Simplify right side
    622,865x = 926,067,480,976
  5. Step 5: Solve for x
    x = 926,067,480,976/622,865
  6. Step 6: Final answer
    x = 1,486,786.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.