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Finding the Third Proportional to 494,451 and 1,058,886

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Solution

The third proportional to 494,451 and 1,058,886 is: 2,267,645.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,451 : 1,058,886 = 1,058,886 : x
  2. Step 2: Convert to fraction form
    494,451/1,058,886 = 1,058,886/x
  3. Step 3: Cross multiply
    494,451x = 1,058,886 × 1,058,886
  4. Step 4: Simplify right side
    494,451x = 1,121,239,560,996
  5. Step 5: Solve for x
    x = 1,121,239,560,996/494,451
  6. Step 6: Final answer
    x = 2,267,645.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.