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Finding the Third Proportional to 448,856 and 978,064

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Solution

The third proportional to 448,856 and 978,064 is: 2,131,216.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,856 : 978,064 = 978,064 : x
  2. Step 2: Convert to fraction form
    448,856/978,064 = 978,064/x
  3. Step 3: Cross multiply
    448,856x = 978,064 × 978,064
  4. Step 4: Simplify right side
    448,856x = 956,609,188,096
  5. Step 5: Solve for x
    x = 956,609,188,096/448,856
  6. Step 6: Final answer
    x = 2,131,216.22

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.