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Finding the Third Proportional to 616,999 and 1,375,785

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Solution

The third proportional to 616,999 and 1,375,785 is: 3,067,726.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,999 : 1,375,785 = 1,375,785 : x
  2. Step 2: Convert to fraction form
    616,999/1,375,785 = 1,375,785/x
  3. Step 3: Cross multiply
    616,999x = 1,375,785 × 1,375,785
  4. Step 4: Simplify right side
    616,999x = 1,892,784,366,225
  5. Step 5: Solve for x
    x = 1,892,784,366,225/616,999
  6. Step 6: Final answer
    x = 3,067,726.80

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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.