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Finding the Third Proportional to 449,910 and 978,550

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Solution

The third proportional to 449,910 and 978,550 is: 2,128,337.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,910 : 978,550 = 978,550 : x
  2. Step 2: Convert to fraction form
    449,910/978,550 = 978,550/x
  3. Step 3: Cross multiply
    449,910x = 978,550 × 978,550
  4. Step 4: Simplify right side
    449,910x = 957,560,102,500
  5. Step 5: Solve for x
    x = 957,560,102,500/449,910
  6. Step 6: Final answer
    x = 2,128,337.01

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.