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Finding the Third Proportional to 4,003,774 and 6,204,747

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Solution

The third proportional to 4,003,774 and 6,204,747 is: 9,615,648.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,003,774 : 6,204,747 = 6,204,747 : x
  2. Step 2: Convert to fraction form
    4,003,774/6,204,747 = 6,204,747/x
  3. Step 3: Cross multiply
    4,003,774x = 6,204,747 × 6,204,747
  4. Step 4: Simplify right side
    4,003,774x = 38,498,885,334,009
  5. Step 5: Solve for x
    x = 38,498,885,334,009/4,003,774
  6. Step 6: Final answer
    x = 9,615,648.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.