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Finding the Third Proportional to 492,462 and 1,058,480

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Solution

The third proportional to 492,462 and 1,058,480 is: 2,275,058.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,462 : 1,058,480 = 1,058,480 : x
  2. Step 2: Convert to fraction form
    492,462/1,058,480 = 1,058,480/x
  3. Step 3: Cross multiply
    492,462x = 1,058,480 × 1,058,480
  4. Step 4: Simplify right side
    492,462x = 1,120,379,910,400
  5. Step 5: Solve for x
    x = 1,120,379,910,400/492,462
  6. Step 6: Final answer
    x = 2,275,058.60

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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.