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Finding the Third Proportional to 920,636 and 1,969,204

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Solution

The third proportional to 920,636 and 1,969,204 is: 4,212,049.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,636 : 1,969,204 = 1,969,204 : x
  2. Step 2: Convert to fraction form
    920,636/1,969,204 = 1,969,204/x
  3. Step 3: Cross multiply
    920,636x = 1,969,204 × 1,969,204
  4. Step 4: Simplify right side
    920,636x = 3,877,764,393,616
  5. Step 5: Solve for x
    x = 3,877,764,393,616/920,636
  6. Step 6: Final answer
    x = 4,212,049.49

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.