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Finding the Third Proportional to 678,982.50 and 1,474,736.06

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Solution

The third proportional to 678,982.50 and 1,474,736.06 is: 3,203,096.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,982.50 : 1,474,736.06 = 1,474,736.06 : x
  2. Step 2: Convert to fraction form
    678,982.50/1,474,736.06 = 1,474,736.06/x
  3. Step 3: Cross multiply
    678,982.50x = 1,474,736.06 × 1,474,736.06
  4. Step 4: Simplify right side
    678,982.50x = 2,174,846,454,038.00
  5. Step 5: Solve for x
    x = 2,174,846,454,038.00/678,982.50
  6. Step 6: Final answer
    x = 3,203,096.48

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.