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Finding the Third Proportional to 2,991,759 and 6,581,838

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Solution

The third proportional to 2,991,759 and 6,581,838 is: 14,479,973.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991,759 : 6,581,838 = 6,581,838 : x
  2. Step 2: Convert to fraction form
    2,991,759/6,581,838 = 6,581,838/x
  3. Step 3: Cross multiply
    2,991,759x = 6,581,838 × 6,581,838
  4. Step 4: Simplify right side
    2,991,759x = 43,320,591,458,244
  5. Step 5: Solve for x
    x = 43,320,591,458,244/2,991,759
  6. Step 6: Final answer
    x = 14,479,973.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.