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Finding the Third Proportional to 757,979.25 and 1,642,099.13

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Solution

The third proportional to 757,979.25 and 1,642,099.13 is: 3,557,471.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,979.25 : 1,642,099.13 = 1,642,099.13 : x
  2. Step 2: Convert to fraction form
    757,979.25/1,642,099.13 = 1,642,099.13/x
  3. Step 3: Cross multiply
    757,979.25x = 1,642,099.13 × 1,642,099.13
  4. Step 4: Simplify right side
    757,979.25x = 2,696,489,536,325.77
  5. Step 5: Solve for x
    x = 2,696,489,536,325.77/757,979.25
  6. Step 6: Final answer
    x = 3,557,471.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.