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Finding the Third Proportional to 979,823 and 2,099,614

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Solution

The third proportional to 979,823 and 2,099,614 is: 4,499,158.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    979,823 : 2,099,614 = 2,099,614 : x
  2. Step 2: Convert to fraction form
    979,823/2,099,614 = 2,099,614/x
  3. Step 3: Cross multiply
    979,823x = 2,099,614 × 2,099,614
  4. Step 4: Simplify right side
    979,823x = 4,408,378,948,996
  5. Step 5: Solve for x
    x = 4,408,378,948,996/979,823
  6. Step 6: Final answer
    x = 4,499,158.47

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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.