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Finding the Third Proportional to 1,025,296 and 2,202,368

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Solution

The third proportional to 1,025,296 and 2,202,368 is: 4,730,755.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025,296 : 2,202,368 = 2,202,368 : x
  2. Step 2: Convert to fraction form
    1,025,296/2,202,368 = 2,202,368/x
  3. Step 3: Cross multiply
    1,025,296x = 2,202,368 × 2,202,368
  4. Step 4: Simplify right side
    1,025,296x = 4,850,424,807,424
  5. Step 5: Solve for x
    x = 4,850,424,807,424/1,025,296
  6. Step 6: Final answer
    x = 4,730,755.61

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.