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Finding the Third Proportional to 479,984 and 1,028,281

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Solution

The third proportional to 479,984 and 1,028,281 is: 2,202,910.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,984 : 1,028,281 = 1,028,281 : x
  2. Step 2: Convert to fraction form
    479,984/1,028,281 = 1,028,281/x
  3. Step 3: Cross multiply
    479,984x = 1,028,281 × 1,028,281
  4. Step 4: Simplify right side
    479,984x = 1,057,361,814,961
  5. Step 5: Solve for x
    x = 1,057,361,814,961/479,984
  6. Step 6: Final answer
    x = 2,202,910.54

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.