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Finding the Third Proportional to 823,001 and 1,982,487

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Solution

The third proportional to 823,001 and 1,982,487 is: 4,775,516.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,001 : 1,982,487 = 1,982,487 : x
  2. Step 2: Convert to fraction form
    823,001/1,982,487 = 1,982,487/x
  3. Step 3: Cross multiply
    823,001x = 1,982,487 × 1,982,487
  4. Step 4: Simplify right side
    823,001x = 3,930,254,705,169
  5. Step 5: Solve for x
    x = 3,930,254,705,169/823,001
  6. Step 6: Final answer
    x = 4,775,516.32

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.