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Finding the Third Proportional to 2,680,504 and 5,780,880

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Solution

The third proportional to 2,680,504 and 5,780,880 is: 12,467,272.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,680,504 : 5,780,880 = 5,780,880 : x
  2. Step 2: Convert to fraction form
    2,680,504/5,780,880 = 5,780,880/x
  3. Step 3: Cross multiply
    2,680,504x = 5,780,880 × 5,780,880
  4. Step 4: Simplify right side
    2,680,504x = 33,418,573,574,400
  5. Step 5: Solve for x
    x = 33,418,573,574,400/2,680,504
  6. Step 6: Final answer
    x = 12,467,272.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.