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Finding the Third Proportional to 784,978 and 1,243,611

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Solution

The third proportional to 784,978 and 1,243,611 is: 1,970,205.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,978 : 1,243,611 = 1,243,611 : x
  2. Step 2: Convert to fraction form
    784,978/1,243,611 = 1,243,611/x
  3. Step 3: Cross multiply
    784,978x = 1,243,611 × 1,243,611
  4. Step 4: Simplify right side
    784,978x = 1,546,568,319,321
  5. Step 5: Solve for x
    x = 1,546,568,319,321/784,978
  6. Step 6: Final answer
    x = 1,970,205.94

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.