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Finding the Third Proportional to 2,042,586 and 3,232,847

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Solution

The third proportional to 2,042,586 and 3,232,847 is: 5,116,699.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042,586 : 3,232,847 = 3,232,847 : x
  2. Step 2: Convert to fraction form
    2,042,586/3,232,847 = 3,232,847/x
  3. Step 3: Cross multiply
    2,042,586x = 3,232,847 × 3,232,847
  4. Step 4: Simplify right side
    2,042,586x = 10,451,299,725,409
  5. Step 5: Solve for x
    x = 10,451,299,725,409/2,042,586
  6. Step 6: Final answer
    x = 5,116,699.97

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.