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Finding the Third Proportional to 3,827,400 and 5,200,236

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Solution

The third proportional to 3,827,400 and 5,200,236 is: 7,065,489.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827,400 : 5,200,236 = 5,200,236 : x
  2. Step 2: Convert to fraction form
    3,827,400/5,200,236 = 5,200,236/x
  3. Step 3: Cross multiply
    3,827,400x = 5,200,236 × 5,200,236
  4. Step 4: Simplify right side
    3,827,400x = 27,042,454,455,696
  5. Step 5: Solve for x
    x = 27,042,454,455,696/3,827,400
  6. Step 6: Final answer
    x = 7,065,489.49

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.