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Finding the Third Proportional to 578,736 and 1,201,824

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Solution

The third proportional to 578,736 and 1,201,824 is: 2,495,750.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,736 : 1,201,824 = 1,201,824 : x
  2. Step 2: Convert to fraction form
    578,736/1,201,824 = 1,201,824/x
  3. Step 3: Cross multiply
    578,736x = 1,201,824 × 1,201,824
  4. Step 4: Simplify right side
    578,736x = 1,444,380,926,976
  5. Step 5: Solve for x
    x = 1,444,380,926,976/578,736
  6. Step 6: Final answer
    x = 2,495,750.96

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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.