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Finding the Third Proportional to 824,198 and 1,781,757

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Solution

The third proportional to 824,198 and 1,781,757 is: 3,851,814.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,198 : 1,781,757 = 1,781,757 : x
  2. Step 2: Convert to fraction form
    824,198/1,781,757 = 1,781,757/x
  3. Step 3: Cross multiply
    824,198x = 1,781,757 × 1,781,757
  4. Step 4: Simplify right side
    824,198x = 3,174,658,007,049
  5. Step 5: Solve for x
    x = 3,174,658,007,049/824,198
  6. Step 6: Final answer
    x = 3,851,814.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.