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Finding the Third Proportional to 490,743 and 1,058,814

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Solution

The third proportional to 490,743 and 1,058,814 is: 2,284,468.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,743 : 1,058,814 = 1,058,814 : x
  2. Step 2: Convert to fraction form
    490,743/1,058,814 = 1,058,814/x
  3. Step 3: Cross multiply
    490,743x = 1,058,814 × 1,058,814
  4. Step 4: Simplify right side
    490,743x = 1,121,087,086,596
  5. Step 5: Solve for x
    x = 1,121,087,086,596/490,743
  6. Step 6: Final answer
    x = 2,284,468.83

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.