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Finding the Third Proportional to 1,629,830 and 3,540,137

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Solution

The third proportional to 1,629,830 and 3,540,137 is: 7,689,495.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629,830 : 3,540,137 = 3,540,137 : x
  2. Step 2: Convert to fraction form
    1,629,830/3,540,137 = 3,540,137/x
  3. Step 3: Cross multiply
    1,629,830x = 3,540,137 × 3,540,137
  4. Step 4: Simplify right side
    1,629,830x = 12,532,569,978,769
  5. Step 5: Solve for x
    x = 12,532,569,978,769/1,629,830
  6. Step 6: Final answer
    x = 7,689,495.21

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.