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Finding the Third Proportional to 1,691,622 and 3,647,316

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Solution

The third proportional to 1,691,622 and 3,647,316 is: 7,863,999.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691,622 : 3,647,316 = 3,647,316 : x
  2. Step 2: Convert to fraction form
    1,691,622/3,647,316 = 3,647,316/x
  3. Step 3: Cross multiply
    1,691,622x = 3,647,316 × 3,647,316
  4. Step 4: Simplify right side
    1,691,622x = 13,302,914,003,856
  5. Step 5: Solve for x
    x = 13,302,914,003,856/1,691,622
  6. Step 6: Final answer
    x = 7,863,999.17

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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.