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Finding the Third Proportional to 414,896 and 904,874

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Solution

The third proportional to 414,896 and 904,874 is: 1,973,499.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,896 : 904,874 = 904,874 : x
  2. Step 2: Convert to fraction form
    414,896/904,874 = 904,874/x
  3. Step 3: Cross multiply
    414,896x = 904,874 × 904,874
  4. Step 4: Simplify right side
    414,896x = 818,796,955,876
  5. Step 5: Solve for x
    x = 818,796,955,876/414,896
  6. Step 6: Final answer
    x = 1,973,499.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.