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Finding the Third Proportional to 1,689,019 and 3,715,837

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Solution

The third proportional to 1,689,019 and 3,715,837 is: 8,174,830.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689,019 : 3,715,837 = 3,715,837 : x
  2. Step 2: Convert to fraction form
    1,689,019/3,715,837 = 3,715,837/x
  3. Step 3: Cross multiply
    1,689,019x = 3,715,837 × 3,715,837
  4. Step 4: Simplify right side
    1,689,019x = 13,807,444,610,569
  5. Step 5: Solve for x
    x = 13,807,444,610,569/1,689,019
  6. Step 6: Final answer
    x = 8,174,830.84

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.