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Finding the Third Proportional to 1,001,993 and 2,183,811

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Solution

The third proportional to 1,001,993 and 2,183,811 is: 4,759,544.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001,993 : 2,183,811 = 2,183,811 : x
  2. Step 2: Convert to fraction form
    1,001,993/2,183,811 = 2,183,811/x
  3. Step 3: Cross multiply
    1,001,993x = 2,183,811 × 2,183,811
  4. Step 4: Simplify right side
    1,001,993x = 4,769,030,483,721
  5. Step 5: Solve for x
    x = 4,769,030,483,721/1,001,993
  6. Step 6: Final answer
    x = 4,759,544.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.