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Finding the Third Proportional to 553,876 and 1,204,952

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Solution

The third proportional to 553,876 and 1,204,952 is: 2,621,361.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,876 : 1,204,952 = 1,204,952 : x
  2. Step 2: Convert to fraction form
    553,876/1,204,952 = 1,204,952/x
  3. Step 3: Cross multiply
    553,876x = 1,204,952 × 1,204,952
  4. Step 4: Simplify right side
    553,876x = 1,451,909,322,304
  5. Step 5: Solve for x
    x = 1,451,909,322,304/553,876
  6. Step 6: Final answer
    x = 2,621,361.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.