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Finding the Third Proportional to 543,914 and 1,178,225

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Solution

The third proportional to 543,914 and 1,178,225 is: 2,552,267.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,914 : 1,178,225 = 1,178,225 : x
  2. Step 2: Convert to fraction form
    543,914/1,178,225 = 1,178,225/x
  3. Step 3: Cross multiply
    543,914x = 1,178,225 × 1,178,225
  4. Step 4: Simplify right side
    543,914x = 1,388,214,150,625
  5. Step 5: Solve for x
    x = 1,388,214,150,625/543,914
  6. Step 6: Final answer
    x = 2,552,267.73

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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.