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Finding the Third Proportional to 1,691,658 and 3,647,394

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Solution

The third proportional to 1,691,658 and 3,647,394 is: 7,864,168.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691,658 : 3,647,394 = 3,647,394 : x
  2. Step 2: Convert to fraction form
    1,691,658/3,647,394 = 3,647,394/x
  3. Step 3: Cross multiply
    1,691,658x = 3,647,394 × 3,647,394
  4. Step 4: Simplify right side
    1,691,658x = 13,303,482,991,236
  5. Step 5: Solve for x
    x = 13,303,482,991,236/1,691,658
  6. Step 6: Final answer
    x = 7,864,168.17

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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.