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Finding the Third Proportional to 500,794.88 and 1,181,003.06

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Solution

The third proportional to 500,794.88 and 1,181,003.06 is: 2,785,108.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,794.88 : 1,181,003.06 = 1,181,003.06 : x
  2. Step 2: Convert to fraction form
    500,794.88/1,181,003.06 = 1,181,003.06/x
  3. Step 3: Cross multiply
    500,794.88x = 1,181,003.06 × 1,181,003.06
  4. Step 4: Simplify right side
    500,794.88x = 1,394,768,233,634.38
  5. Step 5: Solve for x
    x = 1,394,768,233,634.38/500,794.88
  6. Step 6: Final answer
    x = 2,785,108.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.