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Finding the Third Proportional to 446,864 and 957,694

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Solution

The third proportional to 446,864 and 957,694 is: 2,052,476.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,864 : 957,694 = 957,694 : x
  2. Step 2: Convert to fraction form
    446,864/957,694 = 957,694/x
  3. Step 3: Cross multiply
    446,864x = 957,694 × 957,694
  4. Step 4: Simplify right side
    446,864x = 917,177,797,636
  5. Step 5: Solve for x
    x = 917,177,797,636/446,864
  6. Step 6: Final answer
    x = 2,052,476.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.