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Finding the Third Proportional to 622,836 and 963,302

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Solution

The third proportional to 622,836 and 963,302 is: 1,489,879.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,836 : 963,302 = 963,302 : x
  2. Step 2: Convert to fraction form
    622,836/963,302 = 963,302/x
  3. Step 3: Cross multiply
    622,836x = 963,302 × 963,302
  4. Step 4: Simplify right side
    622,836x = 927,950,743,204
  5. Step 5: Solve for x
    x = 927,950,743,204/622,836
  6. Step 6: Final answer
    x = 1,489,879.75

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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.