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Finding the Third Proportional to 538,937 and 1,173,555

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Solution

The third proportional to 538,937 and 1,173,555 is: 2,555,458.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,937 : 1,173,555 = 1,173,555 : x
  2. Step 2: Convert to fraction form
    538,937/1,173,555 = 1,173,555/x
  3. Step 3: Cross multiply
    538,937x = 1,173,555 × 1,173,555
  4. Step 4: Simplify right side
    538,937x = 1,377,231,338,025
  5. Step 5: Solve for x
    x = 1,377,231,338,025/538,937
  6. Step 6: Final answer
    x = 2,555,458.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.