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Finding the Third Proportional to 892,620 and 1,857,438

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Solution

The third proportional to 892,620 and 1,857,438 is: 3,865,111.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,620 : 1,857,438 = 1,857,438 : x
  2. Step 2: Convert to fraction form
    892,620/1,857,438 = 1,857,438/x
  3. Step 3: Cross multiply
    892,620x = 1,857,438 × 1,857,438
  4. Step 4: Simplify right side
    892,620x = 3,450,075,923,844
  5. Step 5: Solve for x
    x = 3,450,075,923,844/892,620
  6. Step 6: Final answer
    x = 3,865,111.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.