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Finding the Third Proportional to 831,189.09 and 1,794,995.44

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Solution

The third proportional to 831,189.09 and 1,794,995.44 is: 3,876,384.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,189.09 : 1,794,995.44 = 1,794,995.44 : x
  2. Step 2: Convert to fraction form
    831,189.09/1,794,995.44 = 1,794,995.44/x
  3. Step 3: Cross multiply
    831,189.09x = 1,794,995.44 × 1,794,995.44
  4. Step 4: Simplify right side
    831,189.09x = 3,222,008,620,645.82
  5. Step 5: Solve for x
    x = 3,222,008,620,645.82/831,189.09
  6. Step 6: Final answer
    x = 3,876,384.62

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Why These Related Problems?

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