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Finding the Third Proportional to 519,176 and 1,126,480

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Solution

The third proportional to 519,176 and 1,126,480 is: 2,444,175.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,176 : 1,126,480 = 1,126,480 : x
  2. Step 2: Convert to fraction form
    519,176/1,126,480 = 1,126,480/x
  3. Step 3: Cross multiply
    519,176x = 1,126,480 × 1,126,480
  4. Step 4: Simplify right side
    519,176x = 1,268,957,190,400
  5. Step 5: Solve for x
    x = 1,268,957,190,400/519,176
  6. Step 6: Final answer
    x = 2,444,175.37

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.