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Finding the Third Proportional to 902,668 and 1,946,400

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Solution

The third proportional to 902,668 and 1,946,400 is: 4,196,972.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,668 : 1,946,400 = 1,946,400 : x
  2. Step 2: Convert to fraction form
    902,668/1,946,400 = 1,946,400/x
  3. Step 3: Cross multiply
    902,668x = 1,946,400 × 1,946,400
  4. Step 4: Simplify right side
    902,668x = 3,788,472,960,000
  5. Step 5: Solve for x
    x = 3,788,472,960,000/902,668
  6. Step 6: Final answer
    x = 4,196,972.71

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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.