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Finding the Third Proportional to 844,682 and 1,821,394

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Solution

The third proportional to 844,682 and 1,821,394 is: 3,927,485.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,682 : 1,821,394 = 1,821,394 : x
  2. Step 2: Convert to fraction form
    844,682/1,821,394 = 1,821,394/x
  3. Step 3: Cross multiply
    844,682x = 1,821,394 × 1,821,394
  4. Step 4: Simplify right side
    844,682x = 3,317,476,103,236
  5. Step 5: Solve for x
    x = 3,317,476,103,236/844,682
  6. Step 6: Final answer
    x = 3,927,485.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.