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Finding the Third Proportional to 902,613 and 1,967,103

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Solution

The third proportional to 902,613 and 1,967,103 is: 4,286,991.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,613 : 1,967,103 = 1,967,103 : x
  2. Step 2: Convert to fraction form
    902,613/1,967,103 = 1,967,103/x
  3. Step 3: Cross multiply
    902,613x = 1,967,103 × 1,967,103
  4. Step 4: Simplify right side
    902,613x = 3,869,494,212,609
  5. Step 5: Solve for x
    x = 3,869,494,212,609/902,613
  6. Step 6: Final answer
    x = 4,286,991.45

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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.