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Finding the Third Proportional to 767,878 and 1,671,199

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Solution

The third proportional to 767,878 and 1,671,199 is: 3,637,174.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,878 : 1,671,199 = 1,671,199 : x
  2. Step 2: Convert to fraction form
    767,878/1,671,199 = 1,671,199/x
  3. Step 3: Cross multiply
    767,878x = 1,671,199 × 1,671,199
  4. Step 4: Simplify right side
    767,878x = 2,792,906,097,601
  5. Step 5: Solve for x
    x = 2,792,906,097,601/767,878
  6. Step 6: Final answer
    x = 3,637,174.26

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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.