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Finding the Third Proportional to 622,156 and 962,390

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Solution

The third proportional to 622,156 and 962,390 is: 1,488,685.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,156 : 962,390 = 962,390 : x
  2. Step 2: Convert to fraction form
    622,156/962,390 = 962,390/x
  3. Step 3: Cross multiply
    622,156x = 962,390 × 962,390
  4. Step 4: Simplify right side
    622,156x = 926,194,512,100
  5. Step 5: Solve for x
    x = 926,194,512,100/622,156
  6. Step 6: Final answer
    x = 1,488,685.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.