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Finding the Third Proportional to 533,925 and 1,135,674

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Solution

The third proportional to 533,925 and 1,135,674 is: 2,415,611.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,925 : 1,135,674 = 1,135,674 : x
  2. Step 2: Convert to fraction form
    533,925/1,135,674 = 1,135,674/x
  3. Step 3: Cross multiply
    533,925x = 1,135,674 × 1,135,674
  4. Step 4: Simplify right side
    533,925x = 1,289,755,434,276
  5. Step 5: Solve for x
    x = 1,289,755,434,276/533,925
  6. Step 6: Final answer
    x = 2,415,611.62

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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.