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Finding the Third Proportional to 1,946,723 and 4,192,942

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Solution

The third proportional to 1,946,723 and 4,192,942 is: 9,030,952.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946,723 : 4,192,942 = 4,192,942 : x
  2. Step 2: Convert to fraction form
    1,946,723/4,192,942 = 4,192,942/x
  3. Step 3: Cross multiply
    1,946,723x = 4,192,942 × 4,192,942
  4. Step 4: Simplify right side
    1,946,723x = 17,580,762,615,364
  5. Step 5: Solve for x
    x = 17,580,762,615,364/1,946,723
  6. Step 6: Final answer
    x = 9,030,952.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.