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Finding the Third Proportional to 535,937 and 1,115,977

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Solution

The third proportional to 535,937 and 1,115,977 is: 2,323,789.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,937 : 1,115,977 = 1,115,977 : x
  2. Step 2: Convert to fraction form
    535,937/1,115,977 = 1,115,977/x
  3. Step 3: Cross multiply
    535,937x = 1,115,977 × 1,115,977
  4. Step 4: Simplify right side
    535,937x = 1,245,404,664,529
  5. Step 5: Solve for x
    x = 1,245,404,664,529/535,937
  6. Step 6: Final answer
    x = 2,323,789.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.