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Finding the Third Proportional to 579,539 and 1,222,006

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Solution

The third proportional to 579,539 and 1,222,006 is: 2,576,700.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,539 : 1,222,006 = 1,222,006 : x
  2. Step 2: Convert to fraction form
    579,539/1,222,006 = 1,222,006/x
  3. Step 3: Cross multiply
    579,539x = 1,222,006 × 1,222,006
  4. Step 4: Simplify right side
    579,539x = 1,493,298,664,036
  5. Step 5: Solve for x
    x = 1,493,298,664,036/579,539
  6. Step 6: Final answer
    x = 2,576,700.90

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.