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Finding the Third Proportional to 2,769,760 and 5,965,760

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Solution

The third proportional to 2,769,760 and 5,965,760 is: 12,849,594.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769,760 : 5,965,760 = 5,965,760 : x
  2. Step 2: Convert to fraction form
    2,769,760/5,965,760 = 5,965,760/x
  3. Step 3: Cross multiply
    2,769,760x = 5,965,760 × 5,965,760
  4. Step 4: Simplify right side
    2,769,760x = 35,590,292,377,600
  5. Step 5: Solve for x
    x = 35,590,292,377,600/2,769,760
  6. Step 6: Final answer
    x = 12,849,594.32

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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.