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Finding the Third Proportional to 444,811.50 and 978,166.13

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Solution

The third proportional to 444,811.50 and 978,166.13 is: 2,151,043.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,811.50 : 978,166.13 = 978,166.13 : x
  2. Step 2: Convert to fraction form
    444,811.50/978,166.13 = 978,166.13/x
  3. Step 3: Cross multiply
    444,811.50x = 978,166.13 × 978,166.13
  4. Step 4: Simplify right side
    444,811.50x = 956,808,968,097.52
  5. Step 5: Solve for x
    x = 956,808,968,097.52/444,811.50
  6. Step 6: Final answer
    x = 2,151,043.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.