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Finding the Third Proportional to 443,910 and 978,303

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Solution

The third proportional to 443,910 and 978,303 is: 2,156,015.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,910 : 978,303 = 978,303 : x
  2. Step 2: Convert to fraction form
    443,910/978,303 = 978,303/x
  3. Step 3: Cross multiply
    443,910x = 978,303 × 978,303
  4. Step 4: Simplify right side
    443,910x = 957,076,759,809
  5. Step 5: Solve for x
    x = 957,076,759,809/443,910
  6. Step 6: Final answer
    x = 2,156,015.32

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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.