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Finding the Third Proportional to 1,519,714 and 3,291,616

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Solution

The third proportional to 1,519,714 and 3,291,616 is: 7,129,457.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519,714 : 3,291,616 = 3,291,616 : x
  2. Step 2: Convert to fraction form
    1,519,714/3,291,616 = 3,291,616/x
  3. Step 3: Cross multiply
    1,519,714x = 3,291,616 × 3,291,616
  4. Step 4: Simplify right side
    1,519,714x = 10,834,735,891,456
  5. Step 5: Solve for x
    x = 10,834,735,891,456/1,519,714
  6. Step 6: Final answer
    x = 7,129,457.18

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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.