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Finding the Third Proportional to 1,190,988 and 2,591,910

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Solution

The third proportional to 1,190,988 and 2,591,910 is: 5,640,692.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190,988 : 2,591,910 = 2,591,910 : x
  2. Step 2: Convert to fraction form
    1,190,988/2,591,910 = 2,591,910/x
  3. Step 3: Cross multiply
    1,190,988x = 2,591,910 × 2,591,910
  4. Step 4: Simplify right side
    1,190,988x = 6,717,997,448,100
  5. Step 5: Solve for x
    x = 6,717,997,448,100/1,190,988
  6. Step 6: Final answer
    x = 5,640,692.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.