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Finding the Third Proportional to 455,910 and 995,736

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Solution

The third proportional to 455,910 and 995,736 is: 2,174,749.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,910 : 995,736 = 995,736 : x
  2. Step 2: Convert to fraction form
    455,910/995,736 = 995,736/x
  3. Step 3: Cross multiply
    455,910x = 995,736 × 995,736
  4. Step 4: Simplify right side
    455,910x = 991,490,181,696
  5. Step 5: Solve for x
    x = 991,490,181,696/455,910
  6. Step 6: Final answer
    x = 2,174,749.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.