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Finding the Third Proportional to 1,030,456 and 2,257,744

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Solution

The third proportional to 1,030,456 and 2,257,744 is: 4,946,749.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030,456 : 2,257,744 = 2,257,744 : x
  2. Step 2: Convert to fraction form
    1,030,456/2,257,744 = 2,257,744/x
  3. Step 3: Cross multiply
    1,030,456x = 2,257,744 × 2,257,744
  4. Step 4: Simplify right side
    1,030,456x = 5,097,407,969,536
  5. Step 5: Solve for x
    x = 5,097,407,969,536/1,030,456
  6. Step 6: Final answer
    x = 4,946,749.76

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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.