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Finding the Third Proportional to 449,953 and 978,638

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Solution

The third proportional to 449,953 and 978,638 is: 2,128,516.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,953 : 978,638 = 978,638 : x
  2. Step 2: Convert to fraction form
    449,953/978,638 = 978,638/x
  3. Step 3: Cross multiply
    449,953x = 978,638 × 978,638
  4. Step 4: Simplify right side
    449,953x = 957,732,335,044
  5. Step 5: Solve for x
    x = 957,732,335,044/449,953
  6. Step 6: Final answer
    x = 2,128,516.39

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Why These Related Problems?

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