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Finding the Third Proportional to 635,642.44 and 1,372,114.69

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Solution

The third proportional to 635,642.44 and 1,372,114.69 is: 2,961,883.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,642.44 : 1,372,114.69 = 1,372,114.69 : x
  2. Step 2: Convert to fraction form
    635,642.44/1,372,114.69 = 1,372,114.69/x
  3. Step 3: Cross multiply
    635,642.44x = 1,372,114.69 × 1,372,114.69
  4. Step 4: Simplify right side
    635,642.44x = 1,882,698,715,653.22
  5. Step 5: Solve for x
    x = 1,882,698,715,653.22/635,642.44
  6. Step 6: Final answer
    x = 2,961,883.29

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.