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Finding the Third Proportional to 798,589 and 1,206,201

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Solution

The third proportional to 798,589 and 1,206,201 is: 1,821,864.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,589 : 1,206,201 = 1,206,201 : x
  2. Step 2: Convert to fraction form
    798,589/1,206,201 = 1,206,201/x
  3. Step 3: Cross multiply
    798,589x = 1,206,201 × 1,206,201
  4. Step 4: Simplify right side
    798,589x = 1,454,920,852,401
  5. Step 5: Solve for x
    x = 1,454,920,852,401/798,589
  6. Step 6: Final answer
    x = 1,821,864.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.