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Finding the Third Proportional to 443,911 and 978,304

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Solution

The third proportional to 443,911 and 978,304 is: 2,156,014.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,911 : 978,304 = 978,304 : x
  2. Step 2: Convert to fraction form
    443,911/978,304 = 978,304/x
  3. Step 3: Cross multiply
    443,911x = 978,304 × 978,304
  4. Step 4: Simplify right side
    443,911x = 957,078,716,416
  5. Step 5: Solve for x
    x = 957,078,716,416/443,911
  6. Step 6: Final answer
    x = 2,156,014.87

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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.