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Finding the Third Proportional to 821,236 and 1,755,966

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Solution

The third proportional to 821,236 and 1,755,966 is: 3,754,604.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,236 : 1,755,966 = 1,755,966 : x
  2. Step 2: Convert to fraction form
    821,236/1,755,966 = 1,755,966/x
  3. Step 3: Cross multiply
    821,236x = 1,755,966 × 1,755,966
  4. Step 4: Simplify right side
    821,236x = 3,083,416,593,156
  5. Step 5: Solve for x
    x = 3,083,416,593,156/821,236
  6. Step 6: Final answer
    x = 3,754,604.76

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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.