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Finding the Third Proportional to 632,885 and 1,364,723

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Solution

The third proportional to 632,885 and 1,364,723 is: 2,942,823.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,885 : 1,364,723 = 1,364,723 : x
  2. Step 2: Convert to fraction form
    632,885/1,364,723 = 1,364,723/x
  3. Step 3: Cross multiply
    632,885x = 1,364,723 × 1,364,723
  4. Step 4: Simplify right side
    632,885x = 1,862,468,866,729
  5. Step 5: Solve for x
    x = 1,862,468,866,729/632,885
  6. Step 6: Final answer
    x = 2,942,823.53

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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.