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Finding the Third Proportional to 797,924 and 1,731,484

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Solution

The third proportional to 797,924 and 1,731,484 is: 3,757,296.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,924 : 1,731,484 = 1,731,484 : x
  2. Step 2: Convert to fraction form
    797,924/1,731,484 = 1,731,484/x
  3. Step 3: Cross multiply
    797,924x = 1,731,484 × 1,731,484
  4. Step 4: Simplify right side
    797,924x = 2,998,036,842,256
  5. Step 5: Solve for x
    x = 2,998,036,842,256/797,924
  6. Step 6: Final answer
    x = 3,757,296.24

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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.