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Finding the Third Proportional to 663,016 and 1,019,694

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Solution

The third proportional to 663,016 and 1,019,694 is: 1,568,251.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,016 : 1,019,694 = 1,019,694 : x
  2. Step 2: Convert to fraction form
    663,016/1,019,694 = 1,019,694/x
  3. Step 3: Cross multiply
    663,016x = 1,019,694 × 1,019,694
  4. Step 4: Simplify right side
    663,016x = 1,039,775,853,636
  5. Step 5: Solve for x
    x = 1,039,775,853,636/663,016
  6. Step 6: Final answer
    x = 1,568,251.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.