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Finding the Third Proportional to 2,781,867 and 5,862,606

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Solution

The third proportional to 2,781,867 and 5,862,606 is: 12,355,065.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781,867 : 5,862,606 = 5,862,606 : x
  2. Step 2: Convert to fraction form
    2,781,867/5,862,606 = 5,862,606/x
  3. Step 3: Cross multiply
    2,781,867x = 5,862,606 × 5,862,606
  4. Step 4: Simplify right side
    2,781,867x = 34,370,149,111,236
  5. Step 5: Solve for x
    x = 34,370,149,111,236/2,781,867
  6. Step 6: Final answer
    x = 12,355,065.54

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.