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Finding the Third Proportional to 510,624 and 1,098,144

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Solution

The third proportional to 510,624 and 1,098,144 is: 2,361,659.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,624 : 1,098,144 = 1,098,144 : x
  2. Step 2: Convert to fraction form
    510,624/1,098,144 = 1,098,144/x
  3. Step 3: Cross multiply
    510,624x = 1,098,144 × 1,098,144
  4. Step 4: Simplify right side
    510,624x = 1,205,920,244,736
  5. Step 5: Solve for x
    x = 1,205,920,244,736/510,624
  6. Step 6: Final answer
    x = 2,361,659.94

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.