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Finding the Third Proportional to 1,946,731 and 4,192,960

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Solution

The third proportional to 1,946,731 and 4,192,960 is: 9,030,992.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946,731 : 4,192,960 = 4,192,960 : x
  2. Step 2: Convert to fraction form
    1,946,731/4,192,960 = 4,192,960/x
  3. Step 3: Cross multiply
    1,946,731x = 4,192,960 × 4,192,960
  4. Step 4: Simplify right side
    1,946,731x = 17,580,913,561,600
  5. Step 5: Solve for x
    x = 17,580,913,561,600/1,946,731
  6. Step 6: Final answer
    x = 9,030,992.76

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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.