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Finding the Third Proportional to 417,424 and 902,912

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Solution

The third proportional to 417,424 and 902,912 is: 1,953,050.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,424 : 902,912 = 902,912 : x
  2. Step 2: Convert to fraction form
    417,424/902,912 = 902,912/x
  3. Step 3: Cross multiply
    417,424x = 902,912 × 902,912
  4. Step 4: Simplify right side
    417,424x = 815,250,079,744
  5. Step 5: Solve for x
    x = 815,250,079,744/417,424
  6. Step 6: Final answer
    x = 1,953,050.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.