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Finding the Third Proportional to 2,965,296 and 6,462,816

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Solution

The third proportional to 2,965,296 and 6,462,816 is: 14,085,605.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965,296 : 6,462,816 = 6,462,816 : x
  2. Step 2: Convert to fraction form
    2,965,296/6,462,816 = 6,462,816/x
  3. Step 3: Cross multiply
    2,965,296x = 6,462,816 × 6,462,816
  4. Step 4: Simplify right side
    2,965,296x = 41,767,990,649,856
  5. Step 5: Solve for x
    x = 41,767,990,649,856/2,965,296
  6. Step 6: Final answer
    x = 14,085,605.84

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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.