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Finding the Third Proportional to 2,351,563 and 3,436,593

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Solution

The third proportional to 2,351,563 and 3,436,593 is: 5,022,264.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351,563 : 3,436,593 = 3,436,593 : x
  2. Step 2: Convert to fraction form
    2,351,563/3,436,593 = 3,436,593/x
  3. Step 3: Cross multiply
    2,351,563x = 3,436,593 × 3,436,593
  4. Step 4: Simplify right side
    2,351,563x = 11,810,171,447,649
  5. Step 5: Solve for x
    x = 11,810,171,447,649/2,351,563
  6. Step 6: Final answer
    x = 5,022,264.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.