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Finding the Third Proportional to 667,550 and 1,032,999

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Solution

The third proportional to 667,550 and 1,032,999 is: 1,598,512.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,550 : 1,032,999 = 1,032,999 : x
  2. Step 2: Convert to fraction form
    667,550/1,032,999 = 1,032,999/x
  3. Step 3: Cross multiply
    667,550x = 1,032,999 × 1,032,999
  4. Step 4: Simplify right side
    667,550x = 1,067,086,934,001
  5. Step 5: Solve for x
    x = 1,067,086,934,001/667,550
  6. Step 6: Final answer
    x = 1,598,512.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.