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Finding the Third Proportional to 1,038,021.75 and 2,231,232.75

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Solution

The third proportional to 1,038,021.75 and 2,231,232.75 is: 4,796,045.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038,021.75 : 2,231,232.75 = 2,231,232.75 : x
  2. Step 2: Convert to fraction form
    1,038,021.75/2,231,232.75 = 2,231,232.75/x
  3. Step 3: Cross multiply
    1,038,021.75x = 2,231,232.75 × 2,231,232.75
  4. Step 4: Simplify right side
    1,038,021.75x = 4,978,399,584,672.56
  5. Step 5: Solve for x
    x = 4,978,399,584,672.56/1,038,021.75
  6. Step 6: Final answer
    x = 4,796,045.54

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