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Finding the Third Proportional to 483,966 and 1,110,843

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Solution

The third proportional to 483,966 and 1,110,843 is: 2,549,708.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,966 : 1,110,843 = 1,110,843 : x
  2. Step 2: Convert to fraction form
    483,966/1,110,843 = 1,110,843/x
  3. Step 3: Cross multiply
    483,966x = 1,110,843 × 1,110,843
  4. Step 4: Simplify right side
    483,966x = 1,233,972,170,649
  5. Step 5: Solve for x
    x = 1,233,972,170,649/483,966
  6. Step 6: Final answer
    x = 2,549,708.39

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.