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Finding the Third Proportional to 902,551 and 1,967,029

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Solution

The third proportional to 902,551 and 1,967,029 is: 4,286,963.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,551 : 1,967,029 = 1,967,029 : x
  2. Step 2: Convert to fraction form
    902,551/1,967,029 = 1,967,029/x
  3. Step 3: Cross multiply
    902,551x = 1,967,029 × 1,967,029
  4. Step 4: Simplify right side
    902,551x = 3,869,203,086,841
  5. Step 5: Solve for x
    x = 3,869,203,086,841/902,551
  6. Step 6: Final answer
    x = 4,286,963.38

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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.