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Finding the Third Proportional to 866,610 and 1,267,824

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Solution

The third proportional to 866,610 and 1,267,824 is: 1,854,787.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,610 : 1,267,824 = 1,267,824 : x
  2. Step 2: Convert to fraction form
    866,610/1,267,824 = 1,267,824/x
  3. Step 3: Cross multiply
    866,610x = 1,267,824 × 1,267,824
  4. Step 4: Simplify right side
    866,610x = 1,607,377,694,976
  5. Step 5: Solve for x
    x = 1,607,377,694,976/866,610
  6. Step 6: Final answer
    x = 1,854,787.85

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.