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Finding the Third Proportional to 474,826 and 1,002,626

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Solution

The third proportional to 474,826 and 1,002,626 is: 2,117,110.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,826 : 1,002,626 = 1,002,626 : x
  2. Step 2: Convert to fraction form
    474,826/1,002,626 = 1,002,626/x
  3. Step 3: Cross multiply
    474,826x = 1,002,626 × 1,002,626
  4. Step 4: Simplify right side
    474,826x = 1,005,258,895,876
  5. Step 5: Solve for x
    x = 1,005,258,895,876/474,826
  6. Step 6: Final answer
    x = 2,117,110.05

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.