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Finding the Third Proportional to 1,704,538 and 3,679,478

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Solution

The third proportional to 1,704,538 and 3,679,478 is: 7,942,655.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704,538 : 3,679,478 = 3,679,478 : x
  2. Step 2: Convert to fraction form
    1,704,538/3,679,478 = 3,679,478/x
  3. Step 3: Cross multiply
    1,704,538x = 3,679,478 × 3,679,478
  4. Step 4: Simplify right side
    1,704,538x = 13,538,558,352,484
  5. Step 5: Solve for x
    x = 13,538,558,352,484/1,704,538
  6. Step 6: Final answer
    x = 7,942,655.64

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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.