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Finding the Third Proportional to 449,661 and 978,639

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Solution

The third proportional to 449,661 and 978,639 is: 2,129,902.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,661 : 978,639 = 978,639 : x
  2. Step 2: Convert to fraction form
    449,661/978,639 = 978,639/x
  3. Step 3: Cross multiply
    449,661x = 978,639 × 978,639
  4. Step 4: Simplify right side
    449,661x = 957,734,292,321
  5. Step 5: Solve for x
    x = 957,734,292,321/449,661
  6. Step 6: Final answer
    x = 2,129,902.95

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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.