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Finding the Third Proportional to 422,975 and 880,804

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Solution

The third proportional to 422,975 and 880,804 is: 1,834,188.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,975 : 880,804 = 880,804 : x
  2. Step 2: Convert to fraction form
    422,975/880,804 = 880,804/x
  3. Step 3: Cross multiply
    422,975x = 880,804 × 880,804
  4. Step 4: Simplify right side
    422,975x = 775,815,686,416
  5. Step 5: Solve for x
    x = 775,815,686,416/422,975
  6. Step 6: Final answer
    x = 1,834,188.04

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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.