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Finding the Third Proportional to 777,740 and 1,704,980

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Solution

The third proportional to 777,740 and 1,704,980 is: 3,737,697.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,740 : 1,704,980 = 1,704,980 : x
  2. Step 2: Convert to fraction form
    777,740/1,704,980 = 1,704,980/x
  3. Step 3: Cross multiply
    777,740x = 1,704,980 × 1,704,980
  4. Step 4: Simplify right side
    777,740x = 2,906,956,800,400
  5. Step 5: Solve for x
    x = 2,906,956,800,400/777,740
  6. Step 6: Final answer
    x = 3,737,697.43

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.