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Finding the Third Proportional to 466,619 and 962,680

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Solution

The third proportional to 466,619 and 962,680 is: 1,986,101.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,619 : 962,680 = 962,680 : x
  2. Step 2: Convert to fraction form
    466,619/962,680 = 962,680/x
  3. Step 3: Cross multiply
    466,619x = 962,680 × 962,680
  4. Step 4: Simplify right side
    466,619x = 926,752,782,400
  5. Step 5: Solve for x
    x = 926,752,782,400/466,619
  6. Step 6: Final answer
    x = 1,986,101.69

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.