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Finding the Third Proportional to 555,816 and 1,172,880

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Solution

The third proportional to 555,816 and 1,172,880 is: 2,475,005.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,816 : 1,172,880 = 1,172,880 : x
  2. Step 2: Convert to fraction form
    555,816/1,172,880 = 1,172,880/x
  3. Step 3: Cross multiply
    555,816x = 1,172,880 × 1,172,880
  4. Step 4: Simplify right side
    555,816x = 1,375,647,494,400
  5. Step 5: Solve for x
    x = 1,375,647,494,400/555,816
  6. Step 6: Final answer
    x = 2,475,005.21

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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.