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Finding the Third Proportional to 1,704,456 and 3,729,645

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Solution

The third proportional to 1,704,456 and 3,729,645 is: 8,161,109.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704,456 : 3,729,645 = 3,729,645 : x
  2. Step 2: Convert to fraction form
    1,704,456/3,729,645 = 3,729,645/x
  3. Step 3: Cross multiply
    1,704,456x = 3,729,645 × 3,729,645
  4. Step 4: Simplify right side
    1,704,456x = 13,910,251,826,025
  5. Step 5: Solve for x
    x = 13,910,251,826,025/1,704,456
  6. Step 6: Final answer
    x = 8,161,109.37

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.