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Finding the Third Proportional to 1,704,014 and 3,647,398

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Solution

The third proportional to 1,704,014 and 3,647,398 is: 7,807,161.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704,014 : 3,647,398 = 3,647,398 : x
  2. Step 2: Convert to fraction form
    1,704,014/3,647,398 = 3,647,398/x
  3. Step 3: Cross multiply
    1,704,014x = 3,647,398 × 3,647,398
  4. Step 4: Simplify right side
    1,704,014x = 13,303,512,170,404
  5. Step 5: Solve for x
    x = 13,303,512,170,404/1,704,014
  6. Step 6: Final answer
    x = 7,807,161.31

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.