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Finding the Third Proportional to 451,838 and 978,064

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Solution

The third proportional to 451,838 and 978,064 is: 2,117,150.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,838 : 978,064 = 978,064 : x
  2. Step 2: Convert to fraction form
    451,838/978,064 = 978,064/x
  3. Step 3: Cross multiply
    451,838x = 978,064 × 978,064
  4. Step 4: Simplify right side
    451,838x = 956,609,188,096
  5. Step 5: Solve for x
    x = 956,609,188,096/451,838
  6. Step 6: Final answer
    x = 2,117,150.81

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.