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Finding the Third Proportional to 509,491 and 1,079,669

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Solution

The third proportional to 509,491 and 1,079,669 is: 2,287,940.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,491 : 1,079,669 = 1,079,669 : x
  2. Step 2: Convert to fraction form
    509,491/1,079,669 = 1,079,669/x
  3. Step 3: Cross multiply
    509,491x = 1,079,669 × 1,079,669
  4. Step 4: Simplify right side
    509,491x = 1,165,685,149,561
  5. Step 5: Solve for x
    x = 1,165,685,149,561/509,491
  6. Step 6: Final answer
    x = 2,287,940.61

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.