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Finding the Third Proportional to 831,022.50 and 1,786,170

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Solution

The third proportional to 831,022.50 and 1,786,170 is: 3,839,129.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,022.50 : 1,786,170 = 1,786,170 : x
  2. Step 2: Convert to fraction form
    831,022.50/1,786,170 = 1,786,170/x
  3. Step 3: Cross multiply
    831,022.50x = 1,786,170 × 1,786,170
  4. Step 4: Simplify right side
    831,022.50x = 3,190,403,268,900
  5. Step 5: Solve for x
    x = 3,190,403,268,900/831,022.50
  6. Step 6: Final answer
    x = 3,839,129.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.