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Finding the Third Proportional to 844,810 and 1,749,504

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Solution

The third proportional to 844,810 and 1,749,504 is: 3,623,020.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,810 : 1,749,504 = 1,749,504 : x
  2. Step 2: Convert to fraction form
    844,810/1,749,504 = 1,749,504/x
  3. Step 3: Cross multiply
    844,810x = 1,749,504 × 1,749,504
  4. Step 4: Simplify right side
    844,810x = 3,060,764,246,016
  5. Step 5: Solve for x
    x = 3,060,764,246,016/844,810
  6. Step 6: Final answer
    x = 3,623,020.85

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.