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Finding the Third Proportional to 543,912 and 1,178,208

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Solution

The third proportional to 543,912 and 1,178,208 is: 2,552,203.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,912 : 1,178,208 = 1,178,208 : x
  2. Step 2: Convert to fraction form
    543,912/1,178,208 = 1,178,208/x
  3. Step 3: Cross multiply
    543,912x = 1,178,208 × 1,178,208
  4. Step 4: Simplify right side
    543,912x = 1,388,174,091,264
  5. Step 5: Solve for x
    x = 1,388,174,091,264/543,912
  6. Step 6: Final answer
    x = 2,552,203.47

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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.