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Finding the Third Proportional to 946,497 and 2,052,690

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Solution

The third proportional to 946,497 and 2,052,690 is: 4,451,716.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,497 : 2,052,690 = 2,052,690 : x
  2. Step 2: Convert to fraction form
    946,497/2,052,690 = 2,052,690/x
  3. Step 3: Cross multiply
    946,497x = 2,052,690 × 2,052,690
  4. Step 4: Simplify right side
    946,497x = 4,213,536,236,100
  5. Step 5: Solve for x
    x = 4,213,536,236,100/946,497
  6. Step 6: Final answer
    x = 4,451,716.42

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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.