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Finding the Third Proportional to 1,682,855 and 3,670,306

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Solution

The third proportional to 1,682,855 and 3,670,306 is: 8,004,935.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,855 : 3,670,306 = 3,670,306 : x
  2. Step 2: Convert to fraction form
    1,682,855/3,670,306 = 3,670,306/x
  3. Step 3: Cross multiply
    1,682,855x = 3,670,306 × 3,670,306
  4. Step 4: Simplify right side
    1,682,855x = 13,471,146,133,636
  5. Step 5: Solve for x
    x = 13,471,146,133,636/1,682,855
  6. Step 6: Final answer
    x = 8,004,935.74

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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.