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Finding the Third Proportional to 414,456 and 858,396

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Solution

The third proportional to 414,456 and 858,396 is: 1,777,857.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,456 : 858,396 = 858,396 : x
  2. Step 2: Convert to fraction form
    414,456/858,396 = 858,396/x
  3. Step 3: Cross multiply
    414,456x = 858,396 × 858,396
  4. Step 4: Simplify right side
    414,456x = 736,843,692,816
  5. Step 5: Solve for x
    x = 736,843,692,816/414,456
  6. Step 6: Final answer
    x = 1,777,857.46

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.