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Finding the Third Proportional to 612,146 and 1,322,653

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Solution

The third proportional to 612,146 and 1,322,653 is: 2,857,832.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,146 : 1,322,653 = 1,322,653 : x
  2. Step 2: Convert to fraction form
    612,146/1,322,653 = 1,322,653/x
  3. Step 3: Cross multiply
    612,146x = 1,322,653 × 1,322,653
  4. Step 4: Simplify right side
    612,146x = 1,749,410,958,409
  5. Step 5: Solve for x
    x = 1,749,410,958,409/612,146
  6. Step 6: Final answer
    x = 2,857,832.87

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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.