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Finding the Third Proportional to 682,990 and 1,055,282

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Solution

The third proportional to 682,990 and 1,055,282 is: 1,630,507.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,990 : 1,055,282 = 1,055,282 : x
  2. Step 2: Convert to fraction form
    682,990/1,055,282 = 1,055,282/x
  3. Step 3: Cross multiply
    682,990x = 1,055,282 × 1,055,282
  4. Step 4: Simplify right side
    682,990x = 1,113,620,099,524
  5. Step 5: Solve for x
    x = 1,113,620,099,524/682,990
  6. Step 6: Final answer
    x = 1,630,507.18

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.