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Finding the Third Proportional to 451,899 and 963,846

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Solution

The third proportional to 451,899 and 963,846 is: 2,055,767.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,899 : 963,846 = 963,846 : x
  2. Step 2: Convert to fraction form
    451,899/963,846 = 963,846/x
  3. Step 3: Cross multiply
    451,899x = 963,846 × 963,846
  4. Step 4: Simplify right side
    451,899x = 928,999,111,716
  5. Step 5: Solve for x
    x = 928,999,111,716/451,899
  6. Step 6: Final answer
    x = 2,055,767.13

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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.