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Finding the Third Proportional to 543,847.50 and 1,196,437.50

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Solution

The third proportional to 543,847.50 and 1,196,437.50 is: 2,632,103.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,847.50 : 1,196,437.50 = 1,196,437.50 : x
  2. Step 2: Convert to fraction form
    543,847.50/1,196,437.50 = 1,196,437.50/x
  3. Step 3: Cross multiply
    543,847.50x = 1,196,437.50 × 1,196,437.50
  4. Step 4: Simplify right side
    543,847.50x = 1,431,462,691,406.25
  5. Step 5: Solve for x
    x = 1,431,462,691,406.25/543,847.50
  6. Step 6: Final answer
    x = 2,632,103.10

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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.