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Finding the Third Proportional to 580,914 and 1,276,380

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Solution

The third proportional to 580,914 and 1,276,380 is: 2,804,452.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,914 : 1,276,380 = 1,276,380 : x
  2. Step 2: Convert to fraction form
    580,914/1,276,380 = 1,276,380/x
  3. Step 3: Cross multiply
    580,914x = 1,276,380 × 1,276,380
  4. Step 4: Simplify right side
    580,914x = 1,629,145,904,400
  5. Step 5: Solve for x
    x = 1,629,145,904,400/580,914
  6. Step 6: Final answer
    x = 2,804,452.82

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.