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Finding the Third Proportional to 1,462,003 and 2,193,004

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Solution

The third proportional to 1,462,003 and 2,193,004 is: 3,289,505.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462,003 : 2,193,004 = 2,193,004 : x
  2. Step 2: Convert to fraction form
    1,462,003/2,193,004 = 2,193,004/x
  3. Step 3: Cross multiply
    1,462,003x = 2,193,004 × 2,193,004
  4. Step 4: Simplify right side
    1,462,003x = 4,809,266,544,016
  5. Step 5: Solve for x
    x = 4,809,266,544,016/1,462,003
  6. Step 6: Final answer
    x = 3,289,505.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.