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Finding the Third Proportional to 449,581 and 978,487

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Solution

The third proportional to 449,581 and 978,487 is: 2,129,620.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,581 : 978,487 = 978,487 : x
  2. Step 2: Convert to fraction form
    449,581/978,487 = 978,487/x
  3. Step 3: Cross multiply
    449,581x = 978,487 × 978,487
  4. Step 4: Simplify right side
    449,581x = 957,436,809,169
  5. Step 5: Solve for x
    x = 957,436,809,169/449,581
  6. Step 6: Final answer
    x = 2,129,620.27

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.