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Finding the Third Proportional to 813,908.25 and 1,649,990.25

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Solution

The third proportional to 813,908.25 and 1,649,990.25 is: 3,344,932.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,908.25 : 1,649,990.25 = 1,649,990.25 : x
  2. Step 2: Convert to fraction form
    813,908.25/1,649,990.25 = 1,649,990.25/x
  3. Step 3: Cross multiply
    813,908.25x = 1,649,990.25 × 1,649,990.25
  4. Step 4: Simplify right side
    813,908.25x = 2,722,467,825,095.06
  5. Step 5: Solve for x
    x = 2,722,467,825,095.06/813,908.25
  6. Step 6: Final answer
    x = 3,344,932.09

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.