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Finding the Third Proportional to 443,913 and 978,314

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Solution

The third proportional to 443,913 and 978,314 is: 2,156,049.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,913 : 978,314 = 978,314 : x
  2. Step 2: Convert to fraction form
    443,913/978,314 = 978,314/x
  3. Step 3: Cross multiply
    443,913x = 978,314 × 978,314
  4. Step 4: Simplify right side
    443,913x = 957,098,282,596
  5. Step 5: Solve for x
    x = 957,098,282,596/443,913
  6. Step 6: Final answer
    x = 2,156,049.23

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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.