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Finding the Third Proportional to 950,565 and 1,979,761

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Solution

The third proportional to 950,565 and 1,979,761 is: 4,123,288.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    950,565 : 1,979,761 = 1,979,761 : x
  2. Step 2: Convert to fraction form
    950,565/1,979,761 = 1,979,761/x
  3. Step 3: Cross multiply
    950,565x = 1,979,761 × 1,979,761
  4. Step 4: Simplify right side
    950,565x = 3,919,453,617,121
  5. Step 5: Solve for x
    x = 3,919,453,617,121/950,565
  6. Step 6: Final answer
    x = 4,123,288.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.