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Finding the Third Proportional to 414,738 and 846,972

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Solution

The third proportional to 414,738 and 846,972 is: 1,729,674.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,738 : 846,972 = 846,972 : x
  2. Step 2: Convert to fraction form
    414,738/846,972 = 846,972/x
  3. Step 3: Cross multiply
    414,738x = 846,972 × 846,972
  4. Step 4: Simplify right side
    414,738x = 717,361,568,784
  5. Step 5: Solve for x
    x = 717,361,568,784/414,738
  6. Step 6: Final answer
    x = 1,729,674.08

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.