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Finding the Third Proportional to 1,647,137 and 3,556,714

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Solution

The third proportional to 1,647,137 and 3,556,714 is: 7,680,122.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647,137 : 3,556,714 = 3,556,714 : x
  2. Step 2: Convert to fraction form
    1,647,137/3,556,714 = 3,556,714/x
  3. Step 3: Cross multiply
    1,647,137x = 3,556,714 × 3,556,714
  4. Step 4: Simplify right side
    1,647,137x = 12,650,214,477,796
  5. Step 5: Solve for x
    x = 12,650,214,477,796/1,647,137
  6. Step 6: Final answer
    x = 7,680,122.83

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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.