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Finding the Third Proportional to 616,834.13 and 1,375,496.30

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Solution

The third proportional to 616,834.13 and 1,375,496.30 is: 3,067,259.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,834.13 : 1,375,496.30 = 1,375,496.30 : x
  2. Step 2: Convert to fraction form
    616,834.13/1,375,496.30 = 1,375,496.30/x
  3. Step 3: Cross multiply
    616,834.13x = 1,375,496.30 × 1,375,496.30
  4. Step 4: Simplify right side
    616,834.13x = 1,891,990,062,716.84
  5. Step 5: Solve for x
    x = 1,891,990,062,716.84/616,834.13
  6. Step 6: Final answer
    x = 3,067,259.07

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.