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Finding the Third Proportional to 797,928 and 1,731,496

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Solution

The third proportional to 797,928 and 1,731,496 is: 3,757,329.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,928 : 1,731,496 = 1,731,496 : x
  2. Step 2: Convert to fraction form
    797,928/1,731,496 = 1,731,496/x
  3. Step 3: Cross multiply
    797,928x = 1,731,496 × 1,731,496
  4. Step 4: Simplify right side
    797,928x = 2,998,078,398,016
  5. Step 5: Solve for x
    x = 2,998,078,398,016/797,928
  6. Step 6: Final answer
    x = 3,757,329.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.