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Finding the Third Proportional to 665,083.41 and 1,463,027.06

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Solution

The third proportional to 665,083.41 and 1,463,027.06 is: 3,218,315.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,083.41 : 1,463,027.06 = 1,463,027.06 : x
  2. Step 2: Convert to fraction form
    665,083.41/1,463,027.06 = 1,463,027.06/x
  3. Step 3: Cross multiply
    665,083.41x = 1,463,027.06 × 1,463,027.06
  4. Step 4: Simplify right side
    665,083.41x = 2,140,448,185,607.38
  5. Step 5: Solve for x
    x = 2,140,448,185,607.38/665,083.41
  6. Step 6: Final answer
    x = 3,218,315.43

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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.