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Finding the Third Proportional to 621,667 and 962,844

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Solution

The third proportional to 621,667 and 962,844 is: 1,491,262.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,667 : 962,844 = 962,844 : x
  2. Step 2: Convert to fraction form
    621,667/962,844 = 962,844/x
  3. Step 3: Cross multiply
    621,667x = 962,844 × 962,844
  4. Step 4: Simplify right side
    621,667x = 927,068,568,336
  5. Step 5: Solve for x
    x = 927,068,568,336/621,667
  6. Step 6: Final answer
    x = 1,491,262.31

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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.