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Finding the Third Proportional to 1,704,018 and 3,647,406

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Solution

The third proportional to 1,704,018 and 3,647,406 is: 7,807,177.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704,018 : 3,647,406 = 3,647,406 : x
  2. Step 2: Convert to fraction form
    1,704,018/3,647,406 = 3,647,406/x
  3. Step 3: Cross multiply
    1,704,018x = 3,647,406 × 3,647,406
  4. Step 4: Simplify right side
    1,704,018x = 13,303,570,528,836
  5. Step 5: Solve for x
    x = 13,303,570,528,836/1,704,018
  6. Step 6: Final answer
    x = 7,807,177.23

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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.