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Finding the Third Proportional to 418,647 and 881,766

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Solution

The third proportional to 418,647 and 881,766 is: 1,857,200.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,647 : 881,766 = 881,766 : x
  2. Step 2: Convert to fraction form
    418,647/881,766 = 881,766/x
  3. Step 3: Cross multiply
    418,647x = 881,766 × 881,766
  4. Step 4: Simplify right side
    418,647x = 777,511,278,756
  5. Step 5: Solve for x
    x = 777,511,278,756/418,647
  6. Step 6: Final answer
    x = 1,857,200.17

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.