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Finding the Third Proportional to 543,904 and 1,178,192

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Solution

The third proportional to 543,904 and 1,178,192 is: 2,552,171.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,904 : 1,178,192 = 1,178,192 : x
  2. Step 2: Convert to fraction form
    543,904/1,178,192 = 1,178,192/x
  3. Step 3: Cross multiply
    543,904x = 1,178,192 × 1,178,192
  4. Step 4: Simplify right side
    543,904x = 1,388,136,388,864
  5. Step 5: Solve for x
    x = 1,388,136,388,864/543,904
  6. Step 6: Final answer
    x = 2,552,171.69

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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.