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Finding the Third Proportional to 2,685,830 and 5,769,208

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Solution

The third proportional to 2,685,830 and 5,769,208 is: 12,392,355.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685,830 : 5,769,208 = 5,769,208 : x
  2. Step 2: Convert to fraction form
    2,685,830/5,769,208 = 5,769,208/x
  3. Step 3: Cross multiply
    2,685,830x = 5,769,208 × 5,769,208
  4. Step 4: Simplify right side
    2,685,830x = 33,283,760,947,264
  5. Step 5: Solve for x
    x = 33,283,760,947,264/2,685,830
  6. Step 6: Final answer
    x = 12,392,355.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.