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Finding the Third Proportional to 1,954,112 and 4,305,772

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Solution

The third proportional to 1,954,112 and 4,305,772 is: 9,487,517.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954,112 : 4,305,772 = 4,305,772 : x
  2. Step 2: Convert to fraction form
    1,954,112/4,305,772 = 4,305,772/x
  3. Step 3: Cross multiply
    1,954,112x = 4,305,772 × 4,305,772
  4. Step 4: Simplify right side
    1,954,112x = 18,539,672,515,984
  5. Step 5: Solve for x
    x = 18,539,672,515,984/1,954,112
  6. Step 6: Final answer
    x = 9,487,517.87

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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.