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Finding the Third Proportional to 444,749 and 978,061

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Solution

The third proportional to 444,749 and 978,061 is: 2,150,883.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,749 : 978,061 = 978,061 : x
  2. Step 2: Convert to fraction form
    444,749/978,061 = 978,061/x
  3. Step 3: Cross multiply
    444,749x = 978,061 × 978,061
  4. Step 4: Simplify right side
    444,749x = 956,603,319,721
  5. Step 5: Solve for x
    x = 956,603,319,721/444,749
  6. Step 6: Final answer
    x = 2,150,883.58

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