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Finding the Third Proportional to 1,682,849 and 3,670,294

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Solution

The third proportional to 1,682,849 and 3,670,294 is: 8,004,911.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,849 : 3,670,294 = 3,670,294 : x
  2. Step 2: Convert to fraction form
    1,682,849/3,670,294 = 3,670,294/x
  3. Step 3: Cross multiply
    1,682,849x = 3,670,294 × 3,670,294
  4. Step 4: Simplify right side
    1,682,849x = 13,471,058,046,436
  5. Step 5: Solve for x
    x = 13,471,058,046,436/1,682,849
  6. Step 6: Final answer
    x = 8,004,911.94

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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.