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Finding the Third Proportional to 1,263,944 and 2,807,824

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Solution

The third proportional to 1,263,944 and 2,807,824 is: 6,237,519.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263,944 : 2,807,824 = 2,807,824 : x
  2. Step 2: Convert to fraction form
    1,263,944/2,807,824 = 2,807,824/x
  3. Step 3: Cross multiply
    1,263,944x = 2,807,824 × 2,807,824
  4. Step 4: Simplify right side
    1,263,944x = 7,883,875,614,976
  5. Step 5: Solve for x
    x = 7,883,875,614,976/1,263,944
  6. Step 6: Final answer
    x = 6,237,519.71

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.