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Finding the Third Proportional to 414,945 and 910,242

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Solution

The third proportional to 414,945 and 910,242 is: 1,996,747.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,945 : 910,242 = 910,242 : x
  2. Step 2: Convert to fraction form
    414,945/910,242 = 910,242/x
  3. Step 3: Cross multiply
    414,945x = 910,242 × 910,242
  4. Step 4: Simplify right side
    414,945x = 828,540,498,564
  5. Step 5: Solve for x
    x = 828,540,498,564/414,945
  6. Step 6: Final answer
    x = 1,996,747.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.