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Finding the Third Proportional to 415,632 and 902,112

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Solution

The third proportional to 415,632 and 902,112 is: 1,957,996.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,632 : 902,112 = 902,112 : x
  2. Step 2: Convert to fraction form
    415,632/902,112 = 902,112/x
  3. Step 3: Cross multiply
    415,632x = 902,112 × 902,112
  4. Step 4: Simplify right side
    415,632x = 813,806,060,544
  5. Step 5: Solve for x
    x = 813,806,060,544/415,632
  6. Step 6: Final answer
    x = 1,957,996.64

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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.