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Finding the Third Proportional to 3,233,106 and 4,707,504

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Solution

The third proportional to 3,233,106 and 4,707,504 is: 6,854,273.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233,106 : 4,707,504 = 4,707,504 : x
  2. Step 2: Convert to fraction form
    3,233,106/4,707,504 = 4,707,504/x
  3. Step 3: Cross multiply
    3,233,106x = 4,707,504 × 4,707,504
  4. Step 4: Simplify right side
    3,233,106x = 22,160,593,910,016
  5. Step 5: Solve for x
    x = 22,160,593,910,016/3,233,106
  6. Step 6: Final answer
    x = 6,854,273.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.