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Finding the Third Proportional to 1,162,951 and 2,463,991

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Solution

The third proportional to 1,162,951 and 2,463,991 is: 5,220,556.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162,951 : 2,463,991 = 2,463,991 : x
  2. Step 2: Convert to fraction form
    1,162,951/2,463,991 = 2,463,991/x
  3. Step 3: Cross multiply
    1,162,951x = 2,463,991 × 2,463,991
  4. Step 4: Simplify right side
    1,162,951x = 6,071,251,648,081
  5. Step 5: Solve for x
    x = 6,071,251,648,081/1,162,951
  6. Step 6: Final answer
    x = 5,220,556.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.