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Finding the Third Proportional to 458,869 and 993,336

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Solution

The third proportional to 458,869 and 993,336 is: 2,150,322.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,869 : 993,336 = 993,336 : x
  2. Step 2: Convert to fraction form
    458,869/993,336 = 993,336/x
  3. Step 3: Cross multiply
    458,869x = 993,336 × 993,336
  4. Step 4: Simplify right side
    458,869x = 986,716,408,896
  5. Step 5: Solve for x
    x = 986,716,408,896/458,869
  6. Step 6: Final answer
    x = 2,150,322.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.