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Finding the Third Proportional to 3,200,864 and 4,954,656

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Solution

The third proportional to 3,200,864 and 4,954,656 is: 7,669,371.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200,864 : 4,954,656 = 4,954,656 : x
  2. Step 2: Convert to fraction form
    3,200,864/4,954,656 = 4,954,656/x
  3. Step 3: Cross multiply
    3,200,864x = 4,954,656 × 4,954,656
  4. Step 4: Simplify right side
    3,200,864x = 24,548,616,078,336
  5. Step 5: Solve for x
    x = 24,548,616,078,336/3,200,864
  6. Step 6: Final answer
    x = 7,669,371.79

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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.