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Finding the Third Proportional to 667,548 and 1,032,996

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Solution

The third proportional to 667,548 and 1,032,996 is: 1,598,507.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,548 : 1,032,996 = 1,032,996 : x
  2. Step 2: Convert to fraction form
    667,548/1,032,996 = 1,032,996/x
  3. Step 3: Cross multiply
    667,548x = 1,032,996 × 1,032,996
  4. Step 4: Simplify right side
    667,548x = 1,067,080,736,016
  5. Step 5: Solve for x
    x = 1,067,080,736,016/667,548
  6. Step 6: Final answer
    x = 1,598,507.88

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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.