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Finding the Third Proportional to 1,077,994 and 1,796,511

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Solution

The third proportional to 1,077,994 and 1,796,511 is: 2,993,942.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077,994 : 1,796,511 = 1,796,511 : x
  2. Step 2: Convert to fraction form
    1,077,994/1,796,511 = 1,796,511/x
  3. Step 3: Cross multiply
    1,077,994x = 1,796,511 × 1,796,511
  4. Step 4: Simplify right side
    1,077,994x = 3,227,451,773,121
  5. Step 5: Solve for x
    x = 3,227,451,773,121/1,077,994
  6. Step 6: Final answer
    x = 2,993,942.24

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.