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Finding the Third Proportional to 665,204 and 1,507,976

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Solution

The third proportional to 665,204 and 1,507,976 is: 3,418,487.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,204 : 1,507,976 = 1,507,976 : x
  2. Step 2: Convert to fraction form
    665,204/1,507,976 = 1,507,976/x
  3. Step 3: Cross multiply
    665,204x = 1,507,976 × 1,507,976
  4. Step 4: Simplify right side
    665,204x = 2,273,991,616,576
  5. Step 5: Solve for x
    x = 2,273,991,616,576/665,204
  6. Step 6: Final answer
    x = 3,418,487.59

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.