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Finding the Third Proportional to 3,814,832 and 5,347,269

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Solution

The third proportional to 3,814,832 and 5,347,269 is: 7,495,293.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814,832 : 5,347,269 = 5,347,269 : x
  2. Step 2: Convert to fraction form
    3,814,832/5,347,269 = 5,347,269/x
  3. Step 3: Cross multiply
    3,814,832x = 5,347,269 × 5,347,269
  4. Step 4: Simplify right side
    3,814,832x = 28,593,285,758,361
  5. Step 5: Solve for x
    x = 28,593,285,758,361/3,814,832
  6. Step 6: Final answer
    x = 7,495,293.57

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.