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Finding the Third Proportional to 667,326 and 1,034,163

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Solution

The third proportional to 667,326 and 1,034,163 is: 1,602,654.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,326 : 1,034,163 = 1,034,163 : x
  2. Step 2: Convert to fraction form
    667,326/1,034,163 = 1,034,163/x
  3. Step 3: Cross multiply
    667,326x = 1,034,163 × 1,034,163
  4. Step 4: Simplify right side
    667,326x = 1,069,493,110,569
  5. Step 5: Solve for x
    x = 1,069,493,110,569/667,326
  6. Step 6: Final answer
    x = 1,602,654.64

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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.