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Finding the Third Proportional to 1,159,538 and 2,524,928

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Solution

The third proportional to 1,159,538 and 2,524,928 is: 5,498,104.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159,538 : 2,524,928 = 2,524,928 : x
  2. Step 2: Convert to fraction form
    1,159,538/2,524,928 = 2,524,928/x
  3. Step 3: Cross multiply
    1,159,538x = 2,524,928 × 2,524,928
  4. Step 4: Simplify right side
    1,159,538x = 6,375,261,405,184
  5. Step 5: Solve for x
    x = 6,375,261,405,184/1,159,538
  6. Step 6: Final answer
    x = 5,498,104.77

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.