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Finding the Third Proportional to 821,232 and 1,755,957

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Solution

The third proportional to 821,232 and 1,755,957 is: 3,754,584.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,232 : 1,755,957 = 1,755,957 : x
  2. Step 2: Convert to fraction form
    821,232/1,755,957 = 1,755,957/x
  3. Step 3: Cross multiply
    821,232x = 1,755,957 × 1,755,957
  4. Step 4: Simplify right side
    821,232x = 3,083,384,985,849
  5. Step 5: Solve for x
    x = 3,083,384,985,849/821,232
  6. Step 6: Final answer
    x = 3,754,584.56

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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.