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Finding the Third Proportional to 1,277,216 and 2,003,568

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Solution

The third proportional to 1,277,216 and 2,003,568 is: 3,142,995.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277,216 : 2,003,568 = 2,003,568 : x
  2. Step 2: Convert to fraction form
    1,277,216/2,003,568 = 2,003,568/x
  3. Step 3: Cross multiply
    1,277,216x = 2,003,568 × 2,003,568
  4. Step 4: Simplify right side
    1,277,216x = 4,014,284,730,624
  5. Step 5: Solve for x
    x = 4,014,284,730,624/1,277,216
  6. Step 6: Final answer
    x = 3,142,995.96

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.