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Finding the Third Proportional to 979,857 and 2,099,682

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Solution

The third proportional to 979,857 and 2,099,682 is: 4,499,293.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    979,857 : 2,099,682 = 2,099,682 : x
  2. Step 2: Convert to fraction form
    979,857/2,099,682 = 2,099,682/x
  3. Step 3: Cross multiply
    979,857x = 2,099,682 × 2,099,682
  4. Step 4: Simplify right side
    979,857x = 4,408,664,501,124
  5. Step 5: Solve for x
    x = 4,408,664,501,124/979,857
  6. Step 6: Final answer
    x = 4,499,293.78

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.