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Finding the Third Proportional to 3,840,897.75 and 5,946,843.75

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Solution

The third proportional to 3,840,897.75 and 5,946,843.75 is: 9,207,469.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840,897.75 : 5,946,843.75 = 5,946,843.75 : x
  2. Step 2: Convert to fraction form
    3,840,897.75/5,946,843.75 = 5,946,843.75/x
  3. Step 3: Cross multiply
    3,840,897.75x = 5,946,843.75 × 5,946,843.75
  4. Step 4: Simplify right side
    3,840,897.75x = 35,364,950,586,914.06
  5. Step 5: Solve for x
    x = 35,364,950,586,914.06/3,840,897.75
  6. Step 6: Final answer
    x = 9,207,469.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.