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Finding the Third Proportional to 797,845 and 1,707,767

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Solution

The third proportional to 797,845 and 1,707,767 is: 3,655,431.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,845 : 1,707,767 = 1,707,767 : x
  2. Step 2: Convert to fraction form
    797,845/1,707,767 = 1,707,767/x
  3. Step 3: Cross multiply
    797,845x = 1,707,767 × 1,707,767
  4. Step 4: Simplify right side
    797,845x = 2,916,468,126,289
  5. Step 5: Solve for x
    x = 2,916,468,126,289/797,845
  6. Step 6: Final answer
    x = 3,655,431.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.