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Finding the Third Proportional to 490,776 and 1,058,874

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Solution

The third proportional to 490,776 and 1,058,874 is: 2,284,574.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,776 : 1,058,874 = 1,058,874 : x
  2. Step 2: Convert to fraction form
    490,776/1,058,874 = 1,058,874/x
  3. Step 3: Cross multiply
    490,776x = 1,058,874 × 1,058,874
  4. Step 4: Simplify right side
    490,776x = 1,121,214,147,876
  5. Step 5: Solve for x
    x = 1,121,214,147,876/490,776
  6. Step 6: Final answer
    x = 2,284,574.12

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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.