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Finding the Third Proportional to 946,493 and 2,052,682

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Solution

The third proportional to 946,493 and 2,052,682 is: 4,451,700.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,493 : 2,052,682 = 2,052,682 : x
  2. Step 2: Convert to fraction form
    946,493/2,052,682 = 2,052,682/x
  3. Step 3: Cross multiply
    946,493x = 2,052,682 × 2,052,682
  4. Step 4: Simplify right side
    946,493x = 4,213,503,393,124
  5. Step 5: Solve for x
    x = 4,213,503,393,124/946,493
  6. Step 6: Final answer
    x = 4,451,700.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.