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Finding the Third Proportional to 3,723,976 and 5,694,258

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Solution

The third proportional to 3,723,976 and 5,694,258 is: 8,706,977.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,723,976 : 5,694,258 = 5,694,258 : x
  2. Step 2: Convert to fraction form
    3,723,976/5,694,258 = 5,694,258/x
  3. Step 3: Cross multiply
    3,723,976x = 5,694,258 × 5,694,258
  4. Step 4: Simplify right side
    3,723,976x = 32,424,574,170,564
  5. Step 5: Solve for x
    x = 32,424,574,170,564/3,723,976
  6. Step 6: Final answer
    x = 8,706,977.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.