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Finding the Third Proportional to 2,084,823 and 4,568,227

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Solution

The third proportional to 2,084,823 and 4,568,227 is: 10,009,817.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084,823 : 4,568,227 = 4,568,227 : x
  2. Step 2: Convert to fraction form
    2,084,823/4,568,227 = 4,568,227/x
  3. Step 3: Cross multiply
    2,084,823x = 4,568,227 × 4,568,227
  4. Step 4: Simplify right side
    2,084,823x = 20,868,697,923,529
  5. Step 5: Solve for x
    x = 20,868,697,923,529/2,084,823
  6. Step 6: Final answer
    x = 10,009,817.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.