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Finding the Third Proportional to 442,751 and 978,532

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Solution

The third proportional to 442,751 and 978,532 is: 2,162,671.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,751 : 978,532 = 978,532 : x
  2. Step 2: Convert to fraction form
    442,751/978,532 = 978,532/x
  3. Step 3: Cross multiply
    442,751x = 978,532 × 978,532
  4. Step 4: Simplify right side
    442,751x = 957,524,875,024
  5. Step 5: Solve for x
    x = 957,524,875,024/442,751
  6. Step 6: Final answer
    x = 2,162,671.29

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.