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Finding the Third Proportional to 1,462,206 and 3,206,880

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Solution

The third proportional to 1,462,206 and 3,206,880 is: 7,033,262.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462,206 : 3,206,880 = 3,206,880 : x
  2. Step 2: Convert to fraction form
    1,462,206/3,206,880 = 3,206,880/x
  3. Step 3: Cross multiply
    1,462,206x = 3,206,880 × 3,206,880
  4. Step 4: Simplify right side
    1,462,206x = 10,284,079,334,400
  5. Step 5: Solve for x
    x = 10,284,079,334,400/1,462,206
  6. Step 6: Final answer
    x = 7,033,262.98

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.