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Finding the Third Proportional to 1,906,213.50 and 4,190,244.75

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Solution

The third proportional to 1,906,213.50 and 4,190,244.75 is: 9,211,009.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906,213.50 : 4,190,244.75 = 4,190,244.75 : x
  2. Step 2: Convert to fraction form
    1,906,213.50/4,190,244.75 = 4,190,244.75/x
  3. Step 3: Cross multiply
    1,906,213.50x = 4,190,244.75 × 4,190,244.75
  4. Step 4: Simplify right side
    1,906,213.50x = 17,558,151,064,902.56
  5. Step 5: Solve for x
    x = 17,558,151,064,902.56/1,906,213.50
  6. Step 6: Final answer
    x = 9,211,009.71

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.