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Finding the Third Proportional to 541,702 and 1,166,648

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Solution

The third proportional to 541,702 and 1,166,648 is: 2,512,576.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,702 : 1,166,648 = 1,166,648 : x
  2. Step 2: Convert to fraction form
    541,702/1,166,648 = 1,166,648/x
  3. Step 3: Cross multiply
    541,702x = 1,166,648 × 1,166,648
  4. Step 4: Simplify right side
    541,702x = 1,361,067,555,904
  5. Step 5: Solve for x
    x = 1,361,067,555,904/541,702
  6. Step 6: Final answer
    x = 2,512,576.21

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.