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Finding the Third Proportional to 4,003,765 and 6,204,729

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Solution

The third proportional to 4,003,765 and 6,204,729 is: 9,615,614.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,003,765 : 6,204,729 = 6,204,729 : x
  2. Step 2: Convert to fraction form
    4,003,765/6,204,729 = 6,204,729/x
  3. Step 3: Cross multiply
    4,003,765x = 6,204,729 × 6,204,729
  4. Step 4: Simplify right side
    4,003,765x = 38,498,661,963,441
  5. Step 5: Solve for x
    x = 38,498,661,963,441/4,003,765
  6. Step 6: Final answer
    x = 9,615,614.79

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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.