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Finding the Third Proportional to 827,248 and 1,327,254

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Solution

The third proportional to 827,248 and 1,327,254 is: 2,129,474.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,248 : 1,327,254 = 1,327,254 : x
  2. Step 2: Convert to fraction form
    827,248/1,327,254 = 1,327,254/x
  3. Step 3: Cross multiply
    827,248x = 1,327,254 × 1,327,254
  4. Step 4: Simplify right side
    827,248x = 1,761,603,180,516
  5. Step 5: Solve for x
    x = 1,761,603,180,516/827,248
  6. Step 6: Final answer
    x = 2,129,474.09

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.