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Finding the Third Proportional to 2,054,538 and 3,193,708

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Solution

The third proportional to 2,054,538 and 3,193,708 is: 4,964,508.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054,538 : 3,193,708 = 3,193,708 : x
  2. Step 2: Convert to fraction form
    2,054,538/3,193,708 = 3,193,708/x
  3. Step 3: Cross multiply
    2,054,538x = 3,193,708 × 3,193,708
  4. Step 4: Simplify right side
    2,054,538x = 10,199,770,789,264
  5. Step 5: Solve for x
    x = 10,199,770,789,264/2,054,538
  6. Step 6: Final answer
    x = 4,964,508.22

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.