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Finding the Third Proportional to 1,296,675 and 2,793,096

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Solution

The third proportional to 1,296,675 and 2,793,096 is: 6,016,453.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296,675 : 2,793,096 = 2,793,096 : x
  2. Step 2: Convert to fraction form
    1,296,675/2,793,096 = 2,793,096/x
  3. Step 3: Cross multiply
    1,296,675x = 2,793,096 × 2,793,096
  4. Step 4: Simplify right side
    1,296,675x = 7,801,385,265,216
  5. Step 5: Solve for x
    x = 7,801,385,265,216/1,296,675
  6. Step 6: Final answer
    x = 6,016,453.83

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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.