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Finding the Third Proportional to 1,433,969 and 3,120,821

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Solution

The third proportional to 1,433,969 and 3,120,821 is: 6,792,004.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433,969 : 3,120,821 = 3,120,821 : x
  2. Step 2: Convert to fraction form
    1,433,969/3,120,821 = 3,120,821/x
  3. Step 3: Cross multiply
    1,433,969x = 3,120,821 × 3,120,821
  4. Step 4: Simplify right side
    1,433,969x = 9,739,523,714,041
  5. Step 5: Solve for x
    x = 9,739,523,714,041/1,433,969
  6. Step 6: Final answer
    x = 6,792,004.37

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.