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Finding the Third Proportional to 946,986 and 2,282,172

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Solution

The third proportional to 946,986 and 2,282,172 is: 5,499,879.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,986 : 2,282,172 = 2,282,172 : x
  2. Step 2: Convert to fraction form
    946,986/2,282,172 = 2,282,172/x
  3. Step 3: Cross multiply
    946,986x = 2,282,172 × 2,282,172
  4. Step 4: Simplify right side
    946,986x = 5,208,309,037,584
  5. Step 5: Solve for x
    x = 5,208,309,037,584/946,986
  6. Step 6: Final answer
    x = 5,499,879.66

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.