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Finding the Third Proportional to 543,915 and 1,178,227

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Solution

The third proportional to 543,915 and 1,178,227 is: 2,552,271.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,915 : 1,178,227 = 1,178,227 : x
  2. Step 2: Convert to fraction form
    543,915/1,178,227 = 1,178,227/x
  3. Step 3: Cross multiply
    543,915x = 1,178,227 × 1,178,227
  4. Step 4: Simplify right side
    543,915x = 1,388,218,863,529
  5. Step 5: Solve for x
    x = 1,388,218,863,529/543,915
  6. Step 6: Final answer
    x = 2,552,271.70

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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.