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Finding the Third Proportional to 902,760 and 1,946,544

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Solution

The third proportional to 902,760 and 1,946,544 is: 4,197,165.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,760 : 1,946,544 = 1,946,544 : x
  2. Step 2: Convert to fraction form
    902,760/1,946,544 = 1,946,544/x
  3. Step 3: Cross multiply
    902,760x = 1,946,544 × 1,946,544
  4. Step 4: Simplify right side
    902,760x = 3,789,033,543,936
  5. Step 5: Solve for x
    x = 3,789,033,543,936/902,760
  6. Step 6: Final answer
    x = 4,197,165.96

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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.