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Finding the Third Proportional to 622,869 and 962,330

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Solution

The third proportional to 622,869 and 962,330 is: 1,486,795.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,869 : 962,330 = 962,330 : x
  2. Step 2: Convert to fraction form
    622,869/962,330 = 962,330/x
  3. Step 3: Cross multiply
    622,869x = 962,330 × 962,330
  4. Step 4: Simplify right side
    622,869x = 926,079,028,900
  5. Step 5: Solve for x
    x = 926,079,028,900/622,869
  6. Step 6: Final answer
    x = 1,486,795.83

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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.