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Finding the Third Proportional to 789,296 and 1,711,648

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Solution

The third proportional to 789,296 and 1,711,648 is: 3,711,837.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,296 : 1,711,648 = 1,711,648 : x
  2. Step 2: Convert to fraction form
    789,296/1,711,648 = 1,711,648/x
  3. Step 3: Cross multiply
    789,296x = 1,711,648 × 1,711,648
  4. Step 4: Simplify right side
    789,296x = 2,929,738,875,904
  5. Step 5: Solve for x
    x = 2,929,738,875,904/789,296
  6. Step 6: Final answer
    x = 3,711,837.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.