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Finding the Third Proportional to 1,682,156 and 3,584,497

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Solution

The third proportional to 1,682,156 and 3,584,497 is: 7,638,185.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,156 : 3,584,497 = 3,584,497 : x
  2. Step 2: Convert to fraction form
    1,682,156/3,584,497 = 3,584,497/x
  3. Step 3: Cross multiply
    1,682,156x = 3,584,497 × 3,584,497
  4. Step 4: Simplify right side
    1,682,156x = 12,848,618,743,009
  5. Step 5: Solve for x
    x = 12,848,618,743,009/1,682,156
  6. Step 6: Final answer
    x = 7,638,185.01

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.