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Finding the Third Proportional to 1,682,208 and 3,737,664

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Solution

The third proportional to 1,682,208 and 3,737,664 is: 8,304,640.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,208 : 3,737,664 = 3,737,664 : x
  2. Step 2: Convert to fraction form
    1,682,208/3,737,664 = 3,737,664/x
  3. Step 3: Cross multiply
    1,682,208x = 3,737,664 × 3,737,664
  4. Step 4: Simplify right side
    1,682,208x = 13,970,132,176,896
  5. Step 5: Solve for x
    x = 13,970,132,176,896/1,682,208
  6. Step 6: Final answer
    x = 8,304,640.20

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.