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Finding the Third Proportional to 2,183,923 and 4,647,920

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Solution

The third proportional to 2,183,923 and 4,647,920 is: 9,891,905.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183,923 : 4,647,920 = 4,647,920 : x
  2. Step 2: Convert to fraction form
    2,183,923/4,647,920 = 4,647,920/x
  3. Step 3: Cross multiply
    2,183,923x = 4,647,920 × 4,647,920
  4. Step 4: Simplify right side
    2,183,923x = 21,603,160,326,400
  5. Step 5: Solve for x
    x = 21,603,160,326,400/2,183,923
  6. Step 6: Final answer
    x = 9,891,905.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.