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Finding the Third Proportional to 511,921.41 and 1,110,861.84

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Solution

The third proportional to 511,921.41 and 1,110,861.84 is: 2,410,553.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,921.41 : 1,110,861.84 = 1,110,861.84 : x
  2. Step 2: Convert to fraction form
    511,921.41/1,110,861.84 = 1,110,861.84/x
  3. Step 3: Cross multiply
    511,921.41x = 1,110,861.84 × 1,110,861.84
  4. Step 4: Simplify right side
    511,921.41x = 1,234,014,035,899.65
  5. Step 5: Solve for x
    x = 1,234,014,035,899.65/511,921.41
  6. Step 6: Final answer
    x = 2,410,553.69

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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.