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Finding the Third Proportional to 451,919 and 963,886

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Solution

The third proportional to 451,919 and 963,886 is: 2,055,846.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,919 : 963,886 = 963,886 : x
  2. Step 2: Convert to fraction form
    451,919/963,886 = 963,886/x
  3. Step 3: Cross multiply
    451,919x = 963,886 × 963,886
  4. Step 4: Simplify right side
    451,919x = 929,076,220,996
  5. Step 5: Solve for x
    x = 929,076,220,996/451,919
  6. Step 6: Final answer
    x = 2,055,846.78

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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.