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Finding the Third Proportional to 1,282,014 and 2,767,122

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Solution

The third proportional to 1,282,014 and 2,767,122 is: 5,972,605.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282,014 : 2,767,122 = 2,767,122 : x
  2. Step 2: Convert to fraction form
    1,282,014/2,767,122 = 2,767,122/x
  3. Step 3: Cross multiply
    1,282,014x = 2,767,122 × 2,767,122
  4. Step 4: Simplify right side
    1,282,014x = 7,656,964,162,884
  5. Step 5: Solve for x
    x = 7,656,964,162,884/1,282,014
  6. Step 6: Final answer
    x = 5,972,605.73

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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.