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Finding the Third Proportional to 791,834.25 and 1,728,864

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Solution

The third proportional to 791,834.25 and 1,728,864 is: 3,774,742.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,834.25 : 1,728,864 = 1,728,864 : x
  2. Step 2: Convert to fraction form
    791,834.25/1,728,864 = 1,728,864/x
  3. Step 3: Cross multiply
    791,834.25x = 1,728,864 × 1,728,864
  4. Step 4: Simplify right side
    791,834.25x = 2,988,970,730,496
  5. Step 5: Solve for x
    x = 2,988,970,730,496/791,834.25
  6. Step 6: Final answer
    x = 3,774,742.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.