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Finding the Third Proportional to 414,317 and 902,443

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Solution

The third proportional to 414,317 and 902,443 is: 1,965,652.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,317 : 902,443 = 902,443 : x
  2. Step 2: Convert to fraction form
    414,317/902,443 = 902,443/x
  3. Step 3: Cross multiply
    414,317x = 902,443 × 902,443
  4. Step 4: Simplify right side
    414,317x = 814,403,368,249
  5. Step 5: Solve for x
    x = 814,403,368,249/414,317
  6. Step 6: Final answer
    x = 1,965,652.79

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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.