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Finding the Third Proportional to 998,463 and 2,186,993.25

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Solution

The third proportional to 998,463 and 2,186,993.25 is: 4,790,302.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,463 : 2,186,993.25 = 2,186,993.25 : x
  2. Step 2: Convert to fraction form
    998,463/2,186,993.25 = 2,186,993.25/x
  3. Step 3: Cross multiply
    998,463x = 2,186,993.25 × 2,186,993.25
  4. Step 4: Simplify right side
    998,463x = 4,782,939,475,545.56
  5. Step 5: Solve for x
    x = 4,782,939,475,545.56/998,463
  6. Step 6: Final answer
    x = 4,790,302.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.