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Finding the Third Proportional to 2,065,326 and 2,974,647

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Solution

The third proportional to 2,065,326 and 2,974,647 is: 4,284,323.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065,326 : 2,974,647 = 2,974,647 : x
  2. Step 2: Convert to fraction form
    2,065,326/2,974,647 = 2,974,647/x
  3. Step 3: Cross multiply
    2,065,326x = 2,974,647 × 2,974,647
  4. Step 4: Simplify right side
    2,065,326x = 8,848,524,774,609
  5. Step 5: Solve for x
    x = 8,848,524,774,609/2,065,326
  6. Step 6: Final answer
    x = 4,284,323.53

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.