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Finding the Third Proportional to 2,589,476 and 3,920,205

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Solution

The third proportional to 2,589,476 and 3,920,205 is: 5,934,794.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589,476 : 3,920,205 = 3,920,205 : x
  2. Step 2: Convert to fraction form
    2,589,476/3,920,205 = 3,920,205/x
  3. Step 3: Cross multiply
    2,589,476x = 3,920,205 × 3,920,205
  4. Step 4: Simplify right side
    2,589,476x = 15,368,007,242,025
  5. Step 5: Solve for x
    x = 15,368,007,242,025/2,589,476
  6. Step 6: Final answer
    x = 5,934,794.24

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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.