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Finding the Third Proportional to 1,297,821 and 2,014,734

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Solution

The third proportional to 1,297,821 and 2,014,734 is: 3,127,667.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,821 : 2,014,734 = 2,014,734 : x
  2. Step 2: Convert to fraction form
    1,297,821/2,014,734 = 2,014,734/x
  3. Step 3: Cross multiply
    1,297,821x = 2,014,734 × 2,014,734
  4. Step 4: Simplify right side
    1,297,821x = 4,059,153,090,756
  5. Step 5: Solve for x
    x = 4,059,153,090,756/1,297,821
  6. Step 6: Final answer
    x = 3,127,667.91

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.