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Finding the Third Proportional to 1,288,672 and 2,789,728

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Solution

The third proportional to 1,288,672 and 2,789,728 is: 6,039,226.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288,672 : 2,789,728 = 2,789,728 : x
  2. Step 2: Convert to fraction form
    1,288,672/2,789,728 = 2,789,728/x
  3. Step 3: Cross multiply
    1,288,672x = 2,789,728 × 2,789,728
  4. Step 4: Simplify right side
    1,288,672x = 7,782,582,313,984
  5. Step 5: Solve for x
    x = 7,782,582,313,984/1,288,672
  6. Step 6: Final answer
    x = 6,039,226.67

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.