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Finding the Third Proportional to 809,781.75 and 1,874,684.25

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Solution

The third proportional to 809,781.75 and 1,874,684.25 is: 4,339,985.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,781.75 : 1,874,684.25 = 1,874,684.25 : x
  2. Step 2: Convert to fraction form
    809,781.75/1,874,684.25 = 1,874,684.25/x
  3. Step 3: Cross multiply
    809,781.75x = 1,874,684.25 × 1,874,684.25
  4. Step 4: Simplify right side
    809,781.75x = 3,514,441,037,198.06
  5. Step 5: Solve for x
    x = 3,514,441,037,198.06/809,781.75
  6. Step 6: Final answer
    x = 4,339,985.48

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.