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Finding the Third Proportional to 444,842 and 978,246

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Solution

The third proportional to 444,842 and 978,246 is: 2,151,247.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,842 : 978,246 = 978,246 : x
  2. Step 2: Convert to fraction form
    444,842/978,246 = 978,246/x
  3. Step 3: Cross multiply
    444,842x = 978,246 × 978,246
  4. Step 4: Simplify right side
    444,842x = 956,965,236,516
  5. Step 5: Solve for x
    x = 956,965,236,516/444,842
  6. Step 6: Final answer
    x = 2,151,247.49

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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.