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Finding the Third Proportional to 414,835.59 and 902,675.81

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Solution

The third proportional to 414,835.59 and 902,675.81 is: 1,964,208.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,835.59 : 902,675.81 = 902,675.81 : x
  2. Step 2: Convert to fraction form
    414,835.59/902,675.81 = 902,675.81/x
  3. Step 3: Cross multiply
    414,835.59x = 902,675.81 × 902,675.81
  4. Step 4: Simplify right side
    414,835.59x = 814,823,622,472.54
  5. Step 5: Solve for x
    x = 814,823,622,472.54/414,835.59
  6. Step 6: Final answer
    x = 1,964,208.56

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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.