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Finding the Third Proportional to 415,608 and 902,064

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Solution

The third proportional to 415,608 and 902,064 is: 1,957,901.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,608 : 902,064 = 902,064 : x
  2. Step 2: Convert to fraction form
    415,608/902,064 = 902,064/x
  3. Step 3: Cross multiply
    415,608x = 902,064 × 902,064
  4. Step 4: Simplify right side
    415,608x = 813,719,460,096
  5. Step 5: Solve for x
    x = 813,719,460,096/415,608
  6. Step 6: Final answer
    x = 1,957,901.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.