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Finding the Third Proportional to 979,826 and 2,099,620

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Solution

The third proportional to 979,826 and 2,099,620 is: 4,499,170.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    979,826 : 2,099,620 = 2,099,620 : x
  2. Step 2: Convert to fraction form
    979,826/2,099,620 = 2,099,620/x
  3. Step 3: Cross multiply
    979,826x = 2,099,620 × 2,099,620
  4. Step 4: Simplify right side
    979,826x = 4,408,404,144,400
  5. Step 5: Solve for x
    x = 4,408,404,144,400/979,826
  6. Step 6: Final answer
    x = 4,499,170.41

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Why These Related Problems?

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