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Finding the Third Proportional to 1,968,060.25 and 3,213,665.25

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Solution

The third proportional to 1,968,060.25 and 3,213,665.25 is: 5,247,626.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968,060.25 : 3,213,665.25 = 3,213,665.25 : x
  2. Step 2: Convert to fraction form
    1,968,060.25/3,213,665.25 = 3,213,665.25/x
  3. Step 3: Cross multiply
    1,968,060.25x = 3,213,665.25 × 3,213,665.25
  4. Step 4: Simplify right side
    1,968,060.25x = 10,327,644,339,057.56
  5. Step 5: Solve for x
    x = 10,327,644,339,057.56/1,968,060.25
  6. Step 6: Final answer
    x = 5,247,626.10

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.