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Finding the Third Proportional to 492,612 and 1,058,895

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Solution

The third proportional to 492,612 and 1,058,895 is: 2,276,149.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,612 : 1,058,895 = 1,058,895 : x
  2. Step 2: Convert to fraction form
    492,612/1,058,895 = 1,058,895/x
  3. Step 3: Cross multiply
    492,612x = 1,058,895 × 1,058,895
  4. Step 4: Simplify right side
    492,612x = 1,121,258,621,025
  5. Step 5: Solve for x
    x = 1,121,258,621,025/492,612
  6. Step 6: Final answer
    x = 2,276,149.63

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.