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Finding the Third Proportional to 2,163,183.75 and 3,301,983

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Solution

The third proportional to 2,163,183.75 and 3,301,983 is: 5,040,298.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163,183.75 : 3,301,983 = 3,301,983 : x
  2. Step 2: Convert to fraction form
    2,163,183.75/3,301,983 = 3,301,983/x
  3. Step 3: Cross multiply
    2,163,183.75x = 3,301,983 × 3,301,983
  4. Step 4: Simplify right side
    2,163,183.75x = 10,903,091,732,289
  5. Step 5: Solve for x
    x = 10,903,091,732,289/2,163,183.75
  6. Step 6: Final answer
    x = 5,040,298.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.