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Finding the Third Proportional to 1,493,403.75 and 3,257,997.75

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Solution

The third proportional to 1,493,403.75 and 3,257,997.75 is: 7,107,621.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493,403.75 : 3,257,997.75 = 3,257,997.75 : x
  2. Step 2: Convert to fraction form
    1,493,403.75/3,257,997.75 = 3,257,997.75/x
  3. Step 3: Cross multiply
    1,493,403.75x = 3,257,997.75 × 3,257,997.75
  4. Step 4: Simplify right side
    1,493,403.75x = 10,614,549,339,005.06
  5. Step 5: Solve for x
    x = 10,614,549,339,005.06/1,493,403.75
  6. Step 6: Final answer
    x = 7,107,621.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.