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Finding the Third Proportional to 451,888 and 963,824

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Solution

The third proportional to 451,888 and 963,824 is: 2,055,723.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,888 : 963,824 = 963,824 : x
  2. Step 2: Convert to fraction form
    451,888/963,824 = 963,824/x
  3. Step 3: Cross multiply
    451,888x = 963,824 × 963,824
  4. Step 4: Simplify right side
    451,888x = 928,956,702,976
  5. Step 5: Solve for x
    x = 928,956,702,976/451,888
  6. Step 6: Final answer
    x = 2,055,723.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.