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Finding the Third Proportional to 451,908 and 963,864

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Solution

The third proportional to 451,908 and 963,864 is: 2,055,802.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,908 : 963,864 = 963,864 : x
  2. Step 2: Convert to fraction form
    451,908/963,864 = 963,864/x
  3. Step 3: Cross multiply
    451,908x = 963,864 × 963,864
  4. Step 4: Simplify right side
    451,908x = 929,033,810,496
  5. Step 5: Solve for x
    x = 929,033,810,496/451,908
  6. Step 6: Final answer
    x = 2,055,802.97

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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.