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Finding the Third Proportional to 2,242,176 and 3,223,296

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Solution

The third proportional to 2,242,176 and 3,223,296 is: 4,633,729.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242,176 : 3,223,296 = 3,223,296 : x
  2. Step 2: Convert to fraction form
    2,242,176/3,223,296 = 3,223,296/x
  3. Step 3: Cross multiply
    2,242,176x = 3,223,296 × 3,223,296
  4. Step 4: Simplify right side
    2,242,176x = 10,389,637,103,616
  5. Step 5: Solve for x
    x = 10,389,637,103,616/2,242,176
  6. Step 6: Final answer
    x = 4,633,729.51

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.