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Finding the Third Proportional to 1,339,299 and 2,021,025

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Solution

The third proportional to 1,339,299 and 2,021,025 is: 3,049,761.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339,299 : 2,021,025 = 2,021,025 : x
  2. Step 2: Convert to fraction form
    1,339,299/2,021,025 = 2,021,025/x
  3. Step 3: Cross multiply
    1,339,299x = 2,021,025 × 2,021,025
  4. Step 4: Simplify right side
    1,339,299x = 4,084,542,050,625
  5. Step 5: Solve for x
    x = 4,084,542,050,625/1,339,299
  6. Step 6: Final answer
    x = 3,049,761.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.