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Finding the Third Proportional to 451,869 and 963,786

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Solution

The third proportional to 451,869 and 963,786 is: 2,055,647.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,869 : 963,786 = 963,786 : x
  2. Step 2: Convert to fraction form
    451,869/963,786 = 963,786/x
  3. Step 3: Cross multiply
    451,869x = 963,786 × 963,786
  4. Step 4: Simplify right side
    451,869x = 928,883,453,796
  5. Step 5: Solve for x
    x = 928,883,453,796/451,869
  6. Step 6: Final answer
    x = 2,055,647.66

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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.