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Finding the Third Proportional to 1,462,197 and 3,206,865

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Solution

The third proportional to 1,462,197 and 3,206,865 is: 7,033,240.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462,197 : 3,206,865 = 3,206,865 : x
  2. Step 2: Convert to fraction form
    1,462,197/3,206,865 = 3,206,865/x
  3. Step 3: Cross multiply
    1,462,197x = 3,206,865 × 3,206,865
  4. Step 4: Simplify right side
    1,462,197x = 10,283,983,128,225
  5. Step 5: Solve for x
    x = 10,283,983,128,225/1,462,197
  6. Step 6: Final answer
    x = 7,033,240.48

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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.