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Finding the Third Proportional to 2,769,501 and 5,759,160

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Solution

The third proportional to 2,769,501 and 5,759,160 is: 11,976,137.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769,501 : 5,759,160 = 5,759,160 : x
  2. Step 2: Convert to fraction form
    2,769,501/5,759,160 = 5,759,160/x
  3. Step 3: Cross multiply
    2,769,501x = 5,759,160 × 5,759,160
  4. Step 4: Simplify right side
    2,769,501x = 33,167,923,905,600
  5. Step 5: Solve for x
    x = 33,167,923,905,600/2,769,501
  6. Step 6: Final answer
    x = 11,976,137.18

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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.