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Finding the Third Proportional to 446,843 and 973,977

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Solution

The third proportional to 446,843 and 973,977 is: 2,122,963.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,843 : 973,977 = 973,977 : x
  2. Step 2: Convert to fraction form
    446,843/973,977 = 973,977/x
  3. Step 3: Cross multiply
    446,843x = 973,977 × 973,977
  4. Step 4: Simplify right side
    446,843x = 948,631,196,529
  5. Step 5: Solve for x
    x = 948,631,196,529/446,843
  6. Step 6: Final answer
    x = 2,122,963.09

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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.