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Finding the Third Proportional to 1,295,944 and 1,824,177

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Solution

The third proportional to 1,295,944 and 1,824,177 is: 2,567,720.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295,944 : 1,824,177 = 1,824,177 : x
  2. Step 2: Convert to fraction form
    1,295,944/1,824,177 = 1,824,177/x
  3. Step 3: Cross multiply
    1,295,944x = 1,824,177 × 1,824,177
  4. Step 4: Simplify right side
    1,295,944x = 3,327,621,727,329
  5. Step 5: Solve for x
    x = 3,327,621,727,329/1,295,944
  6. Step 6: Final answer
    x = 2,567,720.31

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.