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Finding the Third Proportional to 751,849 and 1,151,589

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Solution

The third proportional to 751,849 and 1,151,589 is: 1,763,861.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,849 : 1,151,589 = 1,151,589 : x
  2. Step 2: Convert to fraction form
    751,849/1,151,589 = 1,151,589/x
  3. Step 3: Cross multiply
    751,849x = 1,151,589 × 1,151,589
  4. Step 4: Simplify right side
    751,849x = 1,326,157,224,921
  5. Step 5: Solve for x
    x = 1,326,157,224,921/751,849
  6. Step 6: Final answer
    x = 1,763,861.13

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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.