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Finding the Third Proportional to 850,101.75 and 1,796,144.63

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Solution

The third proportional to 850,101.75 and 1,796,144.63 is: 3,794,999.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,101.75 : 1,796,144.63 = 1,796,144.63 : x
  2. Step 2: Convert to fraction form
    850,101.75/1,796,144.63 = 1,796,144.63/x
  3. Step 3: Cross multiply
    850,101.75x = 1,796,144.63 × 1,796,144.63
  4. Step 4: Simplify right side
    850,101.75x = 3,226,135,513,916.39
  5. Step 5: Solve for x
    x = 3,226,135,513,916.39/850,101.75
  6. Step 6: Final answer
    x = 3,794,999.26

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.