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Finding the Third Proportional to 1,294,568 and 2,010,012

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Solution

The third proportional to 1,294,568 and 2,010,012 is: 3,120,846.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294,568 : 2,010,012 = 2,010,012 : x
  2. Step 2: Convert to fraction form
    1,294,568/2,010,012 = 2,010,012/x
  3. Step 3: Cross multiply
    1,294,568x = 2,010,012 × 2,010,012
  4. Step 4: Simplify right side
    1,294,568x = 4,040,148,240,144
  5. Step 5: Solve for x
    x = 4,040,148,240,144/1,294,568
  6. Step 6: Final answer
    x = 3,120,846.68

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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.