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Finding the Third Proportional to 467,862 and 952,676

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Solution

The third proportional to 467,862 and 952,676 is: 1,939,870.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,862 : 952,676 = 952,676 : x
  2. Step 2: Convert to fraction form
    467,862/952,676 = 952,676/x
  3. Step 3: Cross multiply
    467,862x = 952,676 × 952,676
  4. Step 4: Simplify right side
    467,862x = 907,591,560,976
  5. Step 5: Solve for x
    x = 907,591,560,976/467,862
  6. Step 6: Final answer
    x = 1,939,870.22

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.