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Finding the Third Proportional to 2,137,846 and 4,611,994

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Solution

The third proportional to 2,137,846 and 4,611,994 is: 9,949,495.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137,846 : 4,611,994 = 4,611,994 : x
  2. Step 2: Convert to fraction form
    2,137,846/4,611,994 = 4,611,994/x
  3. Step 3: Cross multiply
    2,137,846x = 4,611,994 × 4,611,994
  4. Step 4: Simplify right side
    2,137,846x = 21,270,488,656,036
  5. Step 5: Solve for x
    x = 21,270,488,656,036/2,137,846
  6. Step 6: Final answer
    x = 9,949,495.27

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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.