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Finding the Third Proportional to 450,876 and 952,044

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Solution

The third proportional to 450,876 and 952,044 is: 2,010,281.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,876 : 952,044 = 952,044 : x
  2. Step 2: Convert to fraction form
    450,876/952,044 = 952,044/x
  3. Step 3: Cross multiply
    450,876x = 952,044 × 952,044
  4. Step 4: Simplify right side
    450,876x = 906,387,777,936
  5. Step 5: Solve for x
    x = 906,387,777,936/450,876
  6. Step 6: Final answer
    x = 2,010,281.71

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.