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Finding the Third Proportional to 600,283,796 and 1,300,757,100

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Solution

The third proportional to 600,283,796 and 1,300,757,100 is: 2,818,615,202.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,283,796 : 1,300,757,100 = 1,300,757,100 : x
  2. Step 2: Convert to fraction form
    600,283,796/1,300,757,100 = 1,300,757,100/x
  3. Step 3: Cross multiply
    600,283,796x = 1,300,757,100 × 1,300,757,100
  4. Step 4: Simplify right side
    600,283,796x = 1,691,969,033,200,410,112
  5. Step 5: Solve for x
    x = 1,691,969,033,200,410,112/600,283,796
  6. Step 6: Final answer
    x = 2,818,615,202.47

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Why These Related Problems?

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