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Finding the Third Proportional to 2,976,208 and 6,446,912

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Solution

The third proportional to 2,976,208 and 6,446,912 is: 13,964,976.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976,208 : 6,446,912 = 6,446,912 : x
  2. Step 2: Convert to fraction form
    2,976,208/6,446,912 = 6,446,912/x
  3. Step 3: Cross multiply
    2,976,208x = 6,446,912 × 6,446,912
  4. Step 4: Simplify right side
    2,976,208x = 41,562,674,335,744
  5. Step 5: Solve for x
    x = 41,562,674,335,744/2,976,208
  6. Step 6: Final answer
    x = 13,964,976.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.