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Finding the Third Proportional to 538,233 and 1,268,766

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Solution

The third proportional to 538,233 and 1,268,766 is: 2,990,836.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,233 : 1,268,766 = 1,268,766 : x
  2. Step 2: Convert to fraction form
    538,233/1,268,766 = 1,268,766/x
  3. Step 3: Cross multiply
    538,233x = 1,268,766 × 1,268,766
  4. Step 4: Simplify right side
    538,233x = 1,609,767,162,756
  5. Step 5: Solve for x
    x = 1,609,767,162,756/538,233
  6. Step 6: Final answer
    x = 2,990,836.98

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.