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Finding the Third Proportional to 982,820 and 2,102,266

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Solution

The third proportional to 982,820 and 2,102,266 is: 4,496,776.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,820 : 2,102,266 = 2,102,266 : x
  2. Step 2: Convert to fraction form
    982,820/2,102,266 = 2,102,266/x
  3. Step 3: Cross multiply
    982,820x = 2,102,266 × 2,102,266
  4. Step 4: Simplify right side
    982,820x = 4,419,522,334,756
  5. Step 5: Solve for x
    x = 4,419,522,334,756/982,820
  6. Step 6: Final answer
    x = 4,496,776.96

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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.