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Finding the Third Proportional to 2,065,286 and 2,974,593

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Solution

The third proportional to 2,065,286 and 2,974,593 is: 4,284,250.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065,286 : 2,974,593 = 2,974,593 : x
  2. Step 2: Convert to fraction form
    2,065,286/2,974,593 = 2,974,593/x
  3. Step 3: Cross multiply
    2,065,286x = 2,974,593 × 2,974,593
  4. Step 4: Simplify right side
    2,065,286x = 8,848,203,515,649
  5. Step 5: Solve for x
    x = 8,848,203,515,649/2,065,286
  6. Step 6: Final answer
    x = 4,284,250.95

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.