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Finding the Third Proportional to 3,546,784 and 5,503,149

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Solution

The third proportional to 3,546,784 and 5,503,149 is: 8,538,622.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546,784 : 5,503,149 = 5,503,149 : x
  2. Step 2: Convert to fraction form
    3,546,784/5,503,149 = 5,503,149/x
  3. Step 3: Cross multiply
    3,546,784x = 5,503,149 × 5,503,149
  4. Step 4: Simplify right side
    3,546,784x = 30,284,648,916,201
  5. Step 5: Solve for x
    x = 30,284,648,916,201/3,546,784
  6. Step 6: Final answer
    x = 8,538,622.29

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.