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Finding the Third Proportional to 459,112.50 and 993,022.50

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Solution

The third proportional to 459,112.50 and 993,022.50 is: 2,147,825.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,112.50 : 993,022.50 = 993,022.50 : x
  2. Step 2: Convert to fraction form
    459,112.50/993,022.50 = 993,022.50/x
  3. Step 3: Cross multiply
    459,112.50x = 993,022.50 × 993,022.50
  4. Step 4: Simplify right side
    459,112.50x = 986,093,685,506.25
  5. Step 5: Solve for x
    x = 986,093,685,506.25/459,112.50
  6. Step 6: Final answer
    x = 2,147,825.83

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.