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Finding the Third Proportional to 767,888 and 1,686,692

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Solution

The third proportional to 767,888 and 1,686,692 is: 3,704,876.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,888 : 1,686,692 = 1,686,692 : x
  2. Step 2: Convert to fraction form
    767,888/1,686,692 = 1,686,692/x
  3. Step 3: Cross multiply
    767,888x = 1,686,692 × 1,686,692
  4. Step 4: Simplify right side
    767,888x = 2,844,929,902,864
  5. Step 5: Solve for x
    x = 2,844,929,902,864/767,888
  6. Step 6: Final answer
    x = 3,704,876.11

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.