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Finding the Third Proportional to 1,285,713 and 2,714,562

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Solution

The third proportional to 1,285,713 and 2,714,562 is: 5,731,331.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285,713 : 2,714,562 = 2,714,562 : x
  2. Step 2: Convert to fraction form
    1,285,713/2,714,562 = 2,714,562/x
  3. Step 3: Cross multiply
    1,285,713x = 2,714,562 × 2,714,562
  4. Step 4: Simplify right side
    1,285,713x = 7,368,846,851,844
  5. Step 5: Solve for x
    x = 7,368,846,851,844/1,285,713
  6. Step 6: Final answer
    x = 5,731,331.06

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.