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Finding the Third Proportional to 444,816 and 978,175

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Solution

The third proportional to 444,816 and 978,175 is: 2,151,060.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,816 : 978,175 = 978,175 : x
  2. Step 2: Convert to fraction form
    444,816/978,175 = 978,175/x
  3. Step 3: Cross multiply
    444,816x = 978,175 × 978,175
  4. Step 4: Simplify right side
    444,816x = 956,826,330,625
  5. Step 5: Solve for x
    x = 956,826,330,625/444,816
  6. Step 6: Final answer
    x = 2,151,060.96

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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.