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Finding the Third Proportional to 486,972 and 1,067,348

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Solution

The third proportional to 486,972 and 1,067,348 is: 2,339,419.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,972 : 1,067,348 = 1,067,348 : x
  2. Step 2: Convert to fraction form
    486,972/1,067,348 = 1,067,348/x
  3. Step 3: Cross multiply
    486,972x = 1,067,348 × 1,067,348
  4. Step 4: Simplify right side
    486,972x = 1,139,231,753,104
  5. Step 5: Solve for x
    x = 1,139,231,753,104/486,972
  6. Step 6: Final answer
    x = 2,339,419.42

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.