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Finding the Third Proportional to 1,749,704 and 3,639,010

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Solution

The third proportional to 1,749,704 and 3,639,010 is: 7,568,362.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749,704 : 3,639,010 = 3,639,010 : x
  2. Step 2: Convert to fraction form
    1,749,704/3,639,010 = 3,639,010/x
  3. Step 3: Cross multiply
    1,749,704x = 3,639,010 × 3,639,010
  4. Step 4: Simplify right side
    1,749,704x = 13,242,393,780,100
  5. Step 5: Solve for x
    x = 13,242,393,780,100/1,749,704
  6. Step 6: Final answer
    x = 7,568,362.29

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.