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Finding the Third Proportional to 550,686 and 1,131,018

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Solution

The third proportional to 550,686 and 1,131,018 is: 2,322,923.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,686 : 1,131,018 = 1,131,018 : x
  2. Step 2: Convert to fraction form
    550,686/1,131,018 = 1,131,018/x
  3. Step 3: Cross multiply
    550,686x = 1,131,018 × 1,131,018
  4. Step 4: Simplify right side
    550,686x = 1,279,201,716,324
  5. Step 5: Solve for x
    x = 1,279,201,716,324/550,686
  6. Step 6: Final answer
    x = 2,322,923.98

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.