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Finding the Third Proportional to 2,960,736 and 6,456,920

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Solution

The third proportional to 2,960,736 and 6,456,920 is: 14,081,571.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960,736 : 6,456,920 = 6,456,920 : x
  2. Step 2: Convert to fraction form
    2,960,736/6,456,920 = 6,456,920/x
  3. Step 3: Cross multiply
    2,960,736x = 6,456,920 × 6,456,920
  4. Step 4: Simplify right side
    2,960,736x = 41,691,815,886,400
  5. Step 5: Solve for x
    x = 41,691,815,886,400/2,960,736
  6. Step 6: Final answer
    x = 14,081,571.57

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Why These Related Problems?

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