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Finding the Third Proportional to 806,821 and 1,755,589

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Solution

The third proportional to 806,821 and 1,755,589 is: 3,820,045.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,821 : 1,755,589 = 1,755,589 : x
  2. Step 2: Convert to fraction form
    806,821/1,755,589 = 1,755,589/x
  3. Step 3: Cross multiply
    806,821x = 1,755,589 × 1,755,589
  4. Step 4: Simplify right side
    806,821x = 3,082,092,736,921
  5. Step 5: Solve for x
    x = 3,082,092,736,921/806,821
  6. Step 6: Final answer
    x = 3,820,045.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.