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Finding the Third Proportional to 492,433 and 1,058,427

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Solution

The third proportional to 492,433 and 1,058,427 is: 2,274,964.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,433 : 1,058,427 = 1,058,427 : x
  2. Step 2: Convert to fraction form
    492,433/1,058,427 = 1,058,427/x
  3. Step 3: Cross multiply
    492,433x = 1,058,427 × 1,058,427
  4. Step 4: Simplify right side
    492,433x = 1,120,267,714,329
  5. Step 5: Solve for x
    x = 1,120,267,714,329/492,433
  6. Step 6: Final answer
    x = 2,274,964.75

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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.