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Finding the Third Proportional to 902,148 and 1,963,098

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Solution

The third proportional to 902,148 and 1,963,098 is: 4,271,753.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,148 : 1,963,098 = 1,963,098 : x
  2. Step 2: Convert to fraction form
    902,148/1,963,098 = 1,963,098/x
  3. Step 3: Cross multiply
    902,148x = 1,963,098 × 1,963,098
  4. Step 4: Simplify right side
    902,148x = 3,853,753,757,604
  5. Step 5: Solve for x
    x = 3,853,753,757,604/902,148
  6. Step 6: Final answer
    x = 4,271,753.37

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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.