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Finding the Third Proportional to 2,769,512 and 5,759,180

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Solution

The third proportional to 2,769,512 and 5,759,180 is: 11,976,172.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769,512 : 5,759,180 = 5,759,180 : x
  2. Step 2: Convert to fraction form
    2,769,512/5,759,180 = 5,759,180/x
  3. Step 3: Cross multiply
    2,769,512x = 5,759,180 × 5,759,180
  4. Step 4: Simplify right side
    2,769,512x = 33,168,154,272,400
  5. Step 5: Solve for x
    x = 33,168,154,272,400/2,769,512
  6. Step 6: Final answer
    x = 11,976,172.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.