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Finding the Third Proportional to 854,799.75 and 1,824,018.75

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Solution

The third proportional to 854,799.75 and 1,824,018.75 is: 3,892,191.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,799.75 : 1,824,018.75 = 1,824,018.75 : x
  2. Step 2: Convert to fraction form
    854,799.75/1,824,018.75 = 1,824,018.75/x
  3. Step 3: Cross multiply
    854,799.75x = 1,824,018.75 × 1,824,018.75
  4. Step 4: Simplify right side
    854,799.75x = 3,327,044,400,351.56
  5. Step 5: Solve for x
    x = 3,327,044,400,351.56/854,799.75
  6. Step 6: Final answer
    x = 3,892,191.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.