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Finding the Third Proportional to 2,823,512 and 4,261,593

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Solution

The third proportional to 2,823,512 and 4,261,593 is: 6,432,122.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823,512 : 4,261,593 = 4,261,593 : x
  2. Step 2: Convert to fraction form
    2,823,512/4,261,593 = 4,261,593/x
  3. Step 3: Cross multiply
    2,823,512x = 4,261,593 × 4,261,593
  4. Step 4: Simplify right side
    2,823,512x = 18,161,174,897,649
  5. Step 5: Solve for x
    x = 18,161,174,897,649/2,823,512
  6. Step 6: Final answer
    x = 6,432,122.44

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.