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Finding the Third Proportional to 855,980 and 2,024,296

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Solution

The third proportional to 855,980 and 2,024,296 is: 4,787,231.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    855,980 : 2,024,296 = 2,024,296 : x
  2. Step 2: Convert to fraction form
    855,980/2,024,296 = 2,024,296/x
  3. Step 3: Cross multiply
    855,980x = 2,024,296 × 2,024,296
  4. Step 4: Simplify right side
    855,980x = 4,097,774,295,616
  5. Step 5: Solve for x
    x = 4,097,774,295,616/855,980
  6. Step 6: Final answer
    x = 4,787,231.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.