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Finding the Third Proportional to 612,144 and 1,322,649

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Solution

The third proportional to 612,144 and 1,322,649 is: 2,857,824.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,144 : 1,322,649 = 1,322,649 : x
  2. Step 2: Convert to fraction form
    612,144/1,322,649 = 1,322,649/x
  3. Step 3: Cross multiply
    612,144x = 1,322,649 × 1,322,649
  4. Step 4: Simplify right side
    612,144x = 1,749,400,377,201
  5. Step 5: Solve for x
    x = 1,749,400,377,201/612,144
  6. Step 6: Final answer
    x = 2,857,824.92

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.