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Finding the Third Proportional to 681,623.23 and 1,476,843.89

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Solution

The third proportional to 681,623.23 and 1,476,843.89 is: 3,199,814.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,623.23 : 1,476,843.89 = 1,476,843.89 : x
  2. Step 2: Convert to fraction form
    681,623.23/1,476,843.89 = 1,476,843.89/x
  3. Step 3: Cross multiply
    681,623.23x = 1,476,843.89 × 1,476,843.89
  4. Step 4: Simplify right side
    681,623.23x = 2,181,067,877,276.39
  5. Step 5: Solve for x
    x = 2,181,067,877,276.39/681,623.23
  6. Step 6: Final answer
    x = 3,199,814.49

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.