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Finding the Third Proportional to 616,834.83 and 1,375,498.13

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Solution

The third proportional to 616,834.83 and 1,375,498.13 is: 3,067,263.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,834.83 : 1,375,498.13 = 1,375,498.13 : x
  2. Step 2: Convert to fraction form
    616,834.83/1,375,498.13 = 1,375,498.13/x
  3. Step 3: Cross multiply
    616,834.83x = 1,375,498.13 × 1,375,498.13
  4. Step 4: Simplify right side
    616,834.83x = 1,891,995,091,878.52
  5. Step 5: Solve for x
    x = 1,891,995,091,878.52/616,834.83
  6. Step 6: Final answer
    x = 3,067,263.72

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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.