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Finding the Third Proportional to 552,918 and 1,204,170

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Solution

The third proportional to 552,918 and 1,204,170 is: 2,622,496.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,918 : 1,204,170 = 1,204,170 : x
  2. Step 2: Convert to fraction form
    552,918/1,204,170 = 1,204,170/x
  3. Step 3: Cross multiply
    552,918x = 1,204,170 × 1,204,170
  4. Step 4: Simplify right side
    552,918x = 1,450,025,388,900
  5. Step 5: Solve for x
    x = 1,450,025,388,900/552,918
  6. Step 6: Final answer
    x = 2,622,496.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.