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Finding the Third Proportional to 444,768 and 945,918

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Solution

The third proportional to 444,768 and 945,918 is: 2,011,747.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,768 : 945,918 = 945,918 : x
  2. Step 2: Convert to fraction form
    444,768/945,918 = 945,918/x
  3. Step 3: Cross multiply
    444,768x = 945,918 × 945,918
  4. Step 4: Simplify right side
    444,768x = 894,760,862,724
  5. Step 5: Solve for x
    x = 894,760,862,724/444,768
  6. Step 6: Final answer
    x = 2,011,747.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.