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Finding the Third Proportional to 492,622 and 1,058,916

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Solution

The third proportional to 492,622 and 1,058,916 is: 2,276,193.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,622 : 1,058,916 = 1,058,916 : x
  2. Step 2: Convert to fraction form
    492,622/1,058,916 = 1,058,916/x
  3. Step 3: Cross multiply
    492,622x = 1,058,916 × 1,058,916
  4. Step 4: Simplify right side
    492,622x = 1,121,303,095,056
  5. Step 5: Solve for x
    x = 1,121,303,095,056/492,622
  6. Step 6: Final answer
    x = 2,276,193.70

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Why These Related Problems?

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