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Finding the Third Proportional to 751,857 and 1,151,601

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Solution

The third proportional to 751,857 and 1,151,601 is: 1,763,879.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,857 : 1,151,601 = 1,151,601 : x
  2. Step 2: Convert to fraction form
    751,857/1,151,601 = 1,151,601/x
  3. Step 3: Cross multiply
    751,857x = 1,151,601 × 1,151,601
  4. Step 4: Simplify right side
    751,857x = 1,326,184,863,201
  5. Step 5: Solve for x
    x = 1,326,184,863,201/751,857
  6. Step 6: Final answer
    x = 1,763,879.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.