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Finding the Third Proportional to 3,205,724 and 6,769,144

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Solution

The third proportional to 3,205,724 and 6,769,144 is: 14,293,591.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205,724 : 6,769,144 = 6,769,144 : x
  2. Step 2: Convert to fraction form
    3,205,724/6,769,144 = 6,769,144/x
  3. Step 3: Cross multiply
    3,205,724x = 6,769,144 × 6,769,144
  4. Step 4: Simplify right side
    3,205,724x = 45,821,310,492,736
  5. Step 5: Solve for x
    x = 45,821,310,492,736/3,205,724
  6. Step 6: Final answer
    x = 14,293,591.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.