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Finding the Third Proportional to 414,713 and 846,922

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Solution

The third proportional to 414,713 and 846,922 is: 1,729,574.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,713 : 846,922 = 846,922 : x
  2. Step 2: Convert to fraction form
    414,713/846,922 = 846,922/x
  3. Step 3: Cross multiply
    414,713x = 846,922 × 846,922
  4. Step 4: Simplify right side
    414,713x = 717,276,874,084
  5. Step 5: Solve for x
    x = 717,276,874,084/414,713
  6. Step 6: Final answer
    x = 1,729,574.12

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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.