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Finding the Third Proportional to 844,721 and 1,821,472

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Solution

The third proportional to 844,721 and 1,821,472 is: 3,927,640.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,721 : 1,821,472 = 1,821,472 : x
  2. Step 2: Convert to fraction form
    844,721/1,821,472 = 1,821,472/x
  3. Step 3: Cross multiply
    844,721x = 1,821,472 × 1,821,472
  4. Step 4: Simplify right side
    844,721x = 3,317,760,246,784
  5. Step 5: Solve for x
    x = 3,317,760,246,784/844,721
  6. Step 6: Final answer
    x = 3,927,640.31

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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.