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Finding the Third Proportional to 414,702 and 846,898

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Solution

The third proportional to 414,702 and 846,898 is: 1,729,521.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,702 : 846,898 = 846,898 : x
  2. Step 2: Convert to fraction form
    414,702/846,898 = 846,898/x
  3. Step 3: Cross multiply
    414,702x = 846,898 × 846,898
  4. Step 4: Simplify right side
    414,702x = 717,236,222,404
  5. Step 5: Solve for x
    x = 717,236,222,404/414,702
  6. Step 6: Final answer
    x = 1,729,521.98

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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.