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Finding the Third Proportional to 553,838 and 1,204,874

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Solution

The third proportional to 553,838 and 1,204,874 is: 2,621,202.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,838 : 1,204,874 = 1,204,874 : x
  2. Step 2: Convert to fraction form
    553,838/1,204,874 = 1,204,874/x
  3. Step 3: Cross multiply
    553,838x = 1,204,874 × 1,204,874
  4. Step 4: Simplify right side
    553,838x = 1,451,721,355,876
  5. Step 5: Solve for x
    x = 1,451,721,355,876/553,838
  6. Step 6: Final answer
    x = 2,621,202.15

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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.