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Finding the Third Proportional to 2,000,414 and 2,858,545

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Solution

The third proportional to 2,000,414 and 2,858,545 is: 4,084,794.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000,414 : 2,858,545 = 2,858,545 : x
  2. Step 2: Convert to fraction form
    2,000,414/2,858,545 = 2,858,545/x
  3. Step 3: Cross multiply
    2,000,414x = 2,858,545 × 2,858,545
  4. Step 4: Simplify right side
    2,000,414x = 8,171,279,517,025
  5. Step 5: Solve for x
    x = 8,171,279,517,025/2,000,414
  6. Step 6: Final answer
    x = 4,084,794.21

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.