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Finding the Third Proportional to 1,287,738 and 2,049,812

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Solution

The third proportional to 1,287,738 and 2,049,812 is: 3,262,875.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287,738 : 2,049,812 = 2,049,812 : x
  2. Step 2: Convert to fraction form
    1,287,738/2,049,812 = 2,049,812/x
  3. Step 3: Cross multiply
    1,287,738x = 2,049,812 × 2,049,812
  4. Step 4: Simplify right side
    1,287,738x = 4,201,729,235,344
  5. Step 5: Solve for x
    x = 4,201,729,235,344/1,287,738
  6. Step 6: Final answer
    x = 3,262,875.86

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.