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Finding the Third Proportional to 3,206,738 and 5,157,651

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Solution

The third proportional to 3,206,738 and 5,157,651 is: 8,295,459.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206,738 : 5,157,651 = 5,157,651 : x
  2. Step 2: Convert to fraction form
    3,206,738/5,157,651 = 5,157,651/x
  3. Step 3: Cross multiply
    3,206,738x = 5,157,651 × 5,157,651
  4. Step 4: Simplify right side
    3,206,738x = 26,601,363,837,801
  5. Step 5: Solve for x
    x = 26,601,363,837,801/3,206,738
  6. Step 6: Final answer
    x = 8,295,459.07

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.