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Finding the Third Proportional to 1,895,314 and 4,474,193

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Solution

The third proportional to 1,895,314 and 4,474,193 is: 10,562,050.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,895,314 : 4,474,193 = 4,474,193 : x
  2. Step 2: Convert to fraction form
    1,895,314/4,474,193 = 4,474,193/x
  3. Step 3: Cross multiply
    1,895,314x = 4,474,193 × 4,474,193
  4. Step 4: Simplify right side
    1,895,314x = 20,018,403,001,249
  5. Step 5: Solve for x
    x = 20,018,403,001,249/1,895,314
  6. Step 6: Final answer
    x = 10,562,050.93

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.