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Finding the Third Proportional to 753,864 and 1,640,694

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Solution

The third proportional to 753,864 and 1,640,694 is: 3,570,772.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,864 : 1,640,694 = 1,640,694 : x
  2. Step 2: Convert to fraction form
    753,864/1,640,694 = 1,640,694/x
  3. Step 3: Cross multiply
    753,864x = 1,640,694 × 1,640,694
  4. Step 4: Simplify right side
    753,864x = 2,691,876,801,636
  5. Step 5: Solve for x
    x = 2,691,876,801,636/753,864
  6. Step 6: Final answer
    x = 3,570,772.45

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.