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Finding the Third Proportional to 414,856 and 904,796

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Solution

The third proportional to 414,856 and 904,796 is: 1,973,349.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,856 : 904,796 = 904,796 : x
  2. Step 2: Convert to fraction form
    414,856/904,796 = 904,796/x
  3. Step 3: Cross multiply
    414,856x = 904,796 × 904,796
  4. Step 4: Simplify right side
    414,856x = 818,655,801,616
  5. Step 5: Solve for x
    x = 818,655,801,616/414,856
  6. Step 6: Final answer
    x = 1,973,349.31

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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.