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Finding the Third Proportional to 2,065,863 and 2,904,025

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Solution

The third proportional to 2,065,863 and 2,904,025 is: 4,082,246.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065,863 : 2,904,025 = 2,904,025 : x
  2. Step 2: Convert to fraction form
    2,065,863/2,904,025 = 2,904,025/x
  3. Step 3: Cross multiply
    2,065,863x = 2,904,025 × 2,904,025
  4. Step 4: Simplify right side
    2,065,863x = 8,433,361,200,625
  5. Step 5: Solve for x
    x = 8,433,361,200,625/2,065,863
  6. Step 6: Final answer
    x = 4,082,246.11

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.