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Finding the Third Proportional to 4,419,188 and 6,824,150

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Solution

The third proportional to 4,419,188 and 6,824,150 is: 10,537,914.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,419,188 : 6,824,150 = 6,824,150 : x
  2. Step 2: Convert to fraction form
    4,419,188/6,824,150 = 6,824,150/x
  3. Step 3: Cross multiply
    4,419,188x = 6,824,150 × 6,824,150
  4. Step 4: Simplify right side
    4,419,188x = 46,569,023,222,500
  5. Step 5: Solve for x
    x = 46,569,023,222,500/4,419,188
  6. Step 6: Final answer
    x = 10,537,914.03

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.