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Finding the Third Proportional to 422,848 and 880,580

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Solution

The third proportional to 422,848 and 880,580 is: 1,833,805.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,848 : 880,580 = 880,580 : x
  2. Step 2: Convert to fraction form
    422,848/880,580 = 880,580/x
  3. Step 3: Cross multiply
    422,848x = 880,580 × 880,580
  4. Step 4: Simplify right side
    422,848x = 775,421,136,400
  5. Step 5: Solve for x
    x = 775,421,136,400/422,848
  6. Step 6: Final answer
    x = 1,833,805.85

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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.