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Finding the Third Proportional to 831,189.75 and 1,794,997.13

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Solution

The third proportional to 831,189.75 and 1,794,997.13 is: 3,876,388.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,189.75 : 1,794,997.13 = 1,794,997.13 : x
  2. Step 2: Convert to fraction form
    831,189.75/1,794,997.13 = 1,794,997.13/x
  3. Step 3: Cross multiply
    831,189.75x = 1,794,997.13 × 1,794,997.13
  4. Step 4: Simplify right side
    831,189.75x = 3,222,014,678,758.27
  5. Step 5: Solve for x
    x = 3,222,014,678,758.27/831,189.75
  6. Step 6: Final answer
    x = 3,876,388.85

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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.