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Finding the Third Proportional to 451,844 and 965,736

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Solution

The third proportional to 451,844 and 965,736 is: 2,064,088.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,844 : 965,736 = 965,736 : x
  2. Step 2: Convert to fraction form
    451,844/965,736 = 965,736/x
  3. Step 3: Cross multiply
    451,844x = 965,736 × 965,736
  4. Step 4: Simplify right side
    451,844x = 932,646,021,696
  5. Step 5: Solve for x
    x = 932,646,021,696/451,844
  6. Step 6: Final answer
    x = 2,064,088.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.