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Finding the Third Proportional to 1,286,571.50 and 1,892,435

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Solution

The third proportional to 1,286,571.50 and 1,892,435 is: 2,783,607.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286,571.50 : 1,892,435 = 1,892,435 : x
  2. Step 2: Convert to fraction form
    1,286,571.50/1,892,435 = 1,892,435/x
  3. Step 3: Cross multiply
    1,286,571.50x = 1,892,435 × 1,892,435
  4. Step 4: Simplify right side
    1,286,571.50x = 3,581,310,229,225
  5. Step 5: Solve for x
    x = 3,581,310,229,225/1,286,571.50
  6. Step 6: Final answer
    x = 2,783,607.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.