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Finding the Third Proportional to 443,932 and 978,352

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Solution

The third proportional to 443,932 and 978,352 is: 2,156,124.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,932 : 978,352 = 978,352 : x
  2. Step 2: Convert to fraction form
    443,932/978,352 = 978,352/x
  3. Step 3: Cross multiply
    443,932x = 978,352 × 978,352
  4. Step 4: Simplify right side
    443,932x = 957,172,635,904
  5. Step 5: Solve for x
    x = 957,172,635,904/443,932
  6. Step 6: Final answer
    x = 2,156,124.44

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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.