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Finding the Third Proportional to 1,823,586 and 3,968,250

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Solution

The third proportional to 1,823,586 and 3,968,250 is: 8,635,188.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823,586 : 3,968,250 = 3,968,250 : x
  2. Step 2: Convert to fraction form
    1,823,586/3,968,250 = 3,968,250/x
  3. Step 3: Cross multiply
    1,823,586x = 3,968,250 × 3,968,250
  4. Step 4: Simplify right side
    1,823,586x = 15,747,008,062,500
  5. Step 5: Solve for x
    x = 15,747,008,062,500/1,823,586
  6. Step 6: Final answer
    x = 8,635,188.06

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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.