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Finding the Third Proportional to 458,914.50 and 994,086

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Solution

The third proportional to 458,914.50 and 994,086 is: 2,153,357.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,914.50 : 994,086 = 994,086 : x
  2. Step 2: Convert to fraction form
    458,914.50/994,086 = 994,086/x
  3. Step 3: Cross multiply
    458,914.50x = 994,086 × 994,086
  4. Step 4: Simplify right side
    458,914.50x = 988,206,975,396
  5. Step 5: Solve for x
    x = 988,206,975,396/458,914.50
  6. Step 6: Final answer
    x = 2,153,357.49

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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.