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Finding the Third Proportional to 449,847 and 978,426

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Solution

The third proportional to 449,847 and 978,426 is: 2,128,095.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,847 : 978,426 = 978,426 : x
  2. Step 2: Convert to fraction form
    449,847/978,426 = 978,426/x
  3. Step 3: Cross multiply
    449,847x = 978,426 × 978,426
  4. Step 4: Simplify right side
    449,847x = 957,317,437,476
  5. Step 5: Solve for x
    x = 957,317,437,476/449,847
  6. Step 6: Final answer
    x = 2,128,095.64

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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.