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Finding the Third Proportional to 1,286,616 and 1,892,494

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Solution

The third proportional to 1,286,616 and 1,892,494 is: 2,783,684.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286,616 : 1,892,494 = 1,892,494 : x
  2. Step 2: Convert to fraction form
    1,286,616/1,892,494 = 1,892,494/x
  3. Step 3: Cross multiply
    1,286,616x = 1,892,494 × 1,892,494
  4. Step 4: Simplify right side
    1,286,616x = 3,581,533,540,036
  5. Step 5: Solve for x
    x = 3,581,533,540,036/1,286,616
  6. Step 6: Final answer
    x = 2,783,684.91

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