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Finding the Third Proportional to 490,622,884 and 995,662,472

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Solution

The third proportional to 490,622,884 and 995,662,472 is: 2,020,581,979.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,622,884 : 995,662,472 = 995,662,472 : x
  2. Step 2: Convert to fraction form
    490,622,884/995,662,472 = 995,662,472/x
  3. Step 3: Cross multiply
    490,622,884x = 995,662,472 × 995,662,472
  4. Step 4: Simplify right side
    490,622,884x = 991,343,758,149,150,720
  5. Step 5: Solve for x
    x = 991,343,758,149,150,720/490,622,884
  6. Step 6: Final answer
    x = 2,020,581,979.52

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.