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Finding the Third Proportional to 2,252,367 and 5,314,671

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Solution

The third proportional to 2,252,367 and 5,314,671 is: 12,540,464.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252,367 : 5,314,671 = 5,314,671 : x
  2. Step 2: Convert to fraction form
    2,252,367/5,314,671 = 5,314,671/x
  3. Step 3: Cross multiply
    2,252,367x = 5,314,671 × 5,314,671
  4. Step 4: Simplify right side
    2,252,367x = 28,245,727,838,241
  5. Step 5: Solve for x
    x = 28,245,727,838,241/2,252,367
  6. Step 6: Final answer
    x = 12,540,464.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.