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Finding the Third Proportional to 1,546,884 and 3,322,269

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Solution

The third proportional to 1,546,884 and 3,322,269 is: 7,135,293.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546,884 : 3,322,269 = 3,322,269 : x
  2. Step 2: Convert to fraction form
    1,546,884/3,322,269 = 3,322,269/x
  3. Step 3: Cross multiply
    1,546,884x = 3,322,269 × 3,322,269
  4. Step 4: Simplify right side
    1,546,884x = 11,037,471,308,361
  5. Step 5: Solve for x
    x = 11,037,471,308,361/1,546,884
  6. Step 6: Final answer
    x = 7,135,293.47

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.