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Finding the Third Proportional to 446,986.69 and 978,441.19

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Solution

The third proportional to 446,986.69 and 978,441.19 is: 2,141,780.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,986.69 : 978,441.19 = 978,441.19 : x
  2. Step 2: Convert to fraction form
    446,986.69/978,441.19 = 978,441.19/x
  3. Step 3: Cross multiply
    446,986.69x = 978,441.19 × 978,441.19
  4. Step 4: Simplify right side
    446,986.69x = 957,347,157,396.41
  5. Step 5: Solve for x
    x = 957,347,157,396.41/446,986.69
  6. Step 6: Final answer
    x = 2,141,780.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.