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Finding the Third Proportional to 854,420.91 and 2,016,942.19

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Solution

The third proportional to 854,420.91 and 2,016,942.19 is: 4,761,184.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,420.91 : 2,016,942.19 = 2,016,942.19 : x
  2. Step 2: Convert to fraction form
    854,420.91/2,016,942.19 = 2,016,942.19/x
  3. Step 3: Cross multiply
    854,420.91x = 2,016,942.19 × 2,016,942.19
  4. Step 4: Simplify right side
    854,420.91x = 4,068,055,787,717.29
  5. Step 5: Solve for x
    x = 4,068,055,787,717.29/854,420.91
  6. Step 6: Final answer
    x = 4,761,184.75

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