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Finding the Third Proportional to 979,806 and 2,099,580

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Solution

The third proportional to 979,806 and 2,099,580 is: 4,499,090.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    979,806 : 2,099,580 = 2,099,580 : x
  2. Step 2: Convert to fraction form
    979,806/2,099,580 = 2,099,580/x
  3. Step 3: Cross multiply
    979,806x = 2,099,580 × 2,099,580
  4. Step 4: Simplify right side
    979,806x = 4,408,236,176,400
  5. Step 5: Solve for x
    x = 4,408,236,176,400/979,806
  6. Step 6: Final answer
    x = 4,499,090.82

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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.