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Finding the Third Proportional to 569,066,619 and 853,599,876

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Solution

The third proportional to 569,066,619 and 853,599,876 is: 1,280,399,735.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,066,619 : 853,599,876 = 853,599,876 : x
  2. Step 2: Convert to fraction form
    569,066,619/853,599,876 = 853,599,876/x
  3. Step 3: Cross multiply
    569,066,619x = 853,599,876 × 853,599,876
  4. Step 4: Simplify right side
    569,066,619x = 728,632,748,307,215,360
  5. Step 5: Solve for x
    x = 728,632,748,307,215,360/569,066,619
  6. Step 6: Final answer
    x = 1,280,399,735.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.