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Finding the Third Proportional to 667,540 and 1,032,987

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Solution

The third proportional to 667,540 and 1,032,987 is: 1,598,499.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,540 : 1,032,987 = 1,032,987 : x
  2. Step 2: Convert to fraction form
    667,540/1,032,987 = 1,032,987/x
  3. Step 3: Cross multiply
    667,540x = 1,032,987 × 1,032,987
  4. Step 4: Simplify right side
    667,540x = 1,067,062,142,169
  5. Step 5: Solve for x
    x = 1,067,062,142,169/667,540
  6. Step 6: Final answer
    x = 1,598,499.18

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