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Finding the Third Proportional to 1,161,590 and 2,491,255

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Solution

The third proportional to 1,161,590 and 2,491,255 is: 5,342,979.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161,590 : 2,491,255 = 2,491,255 : x
  2. Step 2: Convert to fraction form
    1,161,590/2,491,255 = 2,491,255/x
  3. Step 3: Cross multiply
    1,161,590x = 2,491,255 × 2,491,255
  4. Step 4: Simplify right side
    1,161,590x = 6,206,351,475,025
  5. Step 5: Solve for x
    x = 6,206,351,475,025/1,161,590
  6. Step 6: Final answer
    x = 5,342,979.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.