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Finding the Third Proportional to 2,769,500 and 5,759,158

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Solution

The third proportional to 2,769,500 and 5,759,158 is: 11,976,133.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769,500 : 5,759,158 = 5,759,158 : x
  2. Step 2: Convert to fraction form
    2,769,500/5,759,158 = 5,759,158/x
  3. Step 3: Cross multiply
    2,769,500x = 5,759,158 × 5,759,158
  4. Step 4: Simplify right side
    2,769,500x = 33,167,900,868,964
  5. Step 5: Solve for x
    x = 33,167,900,868,964/2,769,500
  6. Step 6: Final answer
    x = 11,976,133.19

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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.