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Finding the Third Proportional to 543,910 and 1,178,217

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Solution

The third proportional to 543,910 and 1,178,217 is: 2,552,251.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,910 : 1,178,217 = 1,178,217 : x
  2. Step 2: Convert to fraction form
    543,910/1,178,217 = 1,178,217/x
  3. Step 3: Cross multiply
    543,910x = 1,178,217 × 1,178,217
  4. Step 4: Simplify right side
    543,910x = 1,388,195,299,089
  5. Step 5: Solve for x
    x = 1,388,195,299,089/543,910
  6. Step 6: Final answer
    x = 2,552,251.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.