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Finding the Third Proportional to 1,181,512 and 2,591,747

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Solution

The third proportional to 1,181,512 and 2,591,747 is: 5,685,217.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181,512 : 2,591,747 = 2,591,747 : x
  2. Step 2: Convert to fraction form
    1,181,512/2,591,747 = 2,591,747/x
  3. Step 3: Cross multiply
    1,181,512x = 2,591,747 × 2,591,747
  4. Step 4: Simplify right side
    1,181,512x = 6,717,152,512,009
  5. Step 5: Solve for x
    x = 6,717,152,512,009/1,181,512
  6. Step 6: Final answer
    x = 5,685,217.34

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.