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Finding the Third Proportional to 797,958 and 1,731,546

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Solution

The third proportional to 797,958 and 1,731,546 is: 3,757,405.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,958 : 1,731,546 = 1,731,546 : x
  2. Step 2: Convert to fraction form
    797,958/1,731,546 = 1,731,546/x
  3. Step 3: Cross multiply
    797,958x = 1,731,546 × 1,731,546
  4. Step 4: Simplify right side
    797,958x = 2,998,251,550,116
  5. Step 5: Solve for x
    x = 2,998,251,550,116/797,958
  6. Step 6: Final answer
    x = 3,757,405.21

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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.