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Finding the Third Proportional to 468,074 and 1,027,676

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Solution

The third proportional to 468,074 and 1,027,676 is: 2,256,305.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,074 : 1,027,676 = 1,027,676 : x
  2. Step 2: Convert to fraction form
    468,074/1,027,676 = 1,027,676/x
  3. Step 3: Cross multiply
    468,074x = 1,027,676 × 1,027,676
  4. Step 4: Simplify right side
    468,074x = 1,056,117,960,976
  5. Step 5: Solve for x
    x = 1,056,117,960,976/468,074
  6. Step 6: Final answer
    x = 2,256,305.54

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.