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Finding the Third Proportional to 481,649 and 1,058,638

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Solution

The third proportional to 481,649 and 1,058,638 is: 2,326,828.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,649 : 1,058,638 = 1,058,638 : x
  2. Step 2: Convert to fraction form
    481,649/1,058,638 = 1,058,638/x
  3. Step 3: Cross multiply
    481,649x = 1,058,638 × 1,058,638
  4. Step 4: Simplify right side
    481,649x = 1,120,714,415,044
  5. Step 5: Solve for x
    x = 1,120,714,415,044/481,649
  6. Step 6: Final answer
    x = 2,326,828.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.