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Finding the Third Proportional to 519,006 and 1,123,305

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Solution

The third proportional to 519,006 and 1,123,305 is: 2,431,212.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,006 : 1,123,305 = 1,123,305 : x
  2. Step 2: Convert to fraction form
    519,006/1,123,305 = 1,123,305/x
  3. Step 3: Cross multiply
    519,006x = 1,123,305 × 1,123,305
  4. Step 4: Simplify right side
    519,006x = 1,261,814,123,025
  5. Step 5: Solve for x
    x = 1,261,814,123,025/519,006
  6. Step 6: Final answer
    x = 2,431,212.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.