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Finding the Third Proportional to 569,928 and 1,203,936

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Solution

The third proportional to 569,928 and 1,203,936 is: 2,543,236.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,928 : 1,203,936 = 1,203,936 : x
  2. Step 2: Convert to fraction form
    569,928/1,203,936 = 1,203,936/x
  3. Step 3: Cross multiply
    569,928x = 1,203,936 × 1,203,936
  4. Step 4: Simplify right side
    569,928x = 1,449,461,892,096
  5. Step 5: Solve for x
    x = 1,449,461,892,096/569,928
  6. Step 6: Final answer
    x = 2,543,236.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.