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Finding the Third Proportional to 2,029,761 and 4,376,844

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Solution

The third proportional to 2,029,761 and 4,376,844 is: 9,437,940.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029,761 : 4,376,844 = 4,376,844 : x
  2. Step 2: Convert to fraction form
    2,029,761/4,376,844 = 4,376,844/x
  3. Step 3: Cross multiply
    2,029,761x = 4,376,844 × 4,376,844
  4. Step 4: Simplify right side
    2,029,761x = 19,156,763,400,336
  5. Step 5: Solve for x
    x = 19,156,763,400,336/2,029,761
  6. Step 6: Final answer
    x = 9,437,940.43

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.