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Finding the Third Proportional to 2,099,824 and 3,257,592

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Solution

The third proportional to 2,099,824 and 3,257,592 is: 5,053,711.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099,824 : 3,257,592 = 3,257,592 : x
  2. Step 2: Convert to fraction form
    2,099,824/3,257,592 = 3,257,592/x
  3. Step 3: Cross multiply
    2,099,824x = 3,257,592 × 3,257,592
  4. Step 4: Simplify right side
    2,099,824x = 10,611,905,638,464
  5. Step 5: Solve for x
    x = 10,611,905,638,464/2,099,824
  6. Step 6: Final answer
    x = 5,053,711.95

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.