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Finding the Third Proportional to 414,731 and 909,814

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Solution

The third proportional to 414,731 and 909,814 is: 1,995,899.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,731 : 909,814 = 909,814 : x
  2. Step 2: Convert to fraction form
    414,731/909,814 = 909,814/x
  3. Step 3: Cross multiply
    414,731x = 909,814 × 909,814
  4. Step 4: Simplify right side
    414,731x = 827,761,514,596
  5. Step 5: Solve for x
    x = 827,761,514,596/414,731
  6. Step 6: Final answer
    x = 1,995,899.79

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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.