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Finding the Third Proportional to 597,600 and 1,285,824

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Solution

The third proportional to 597,600 and 1,285,824 is: 2,766,638.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,600 : 1,285,824 = 1,285,824 : x
  2. Step 2: Convert to fraction form
    597,600/1,285,824 = 1,285,824/x
  3. Step 3: Cross multiply
    597,600x = 1,285,824 × 1,285,824
  4. Step 4: Simplify right side
    597,600x = 1,653,343,358,976
  5. Step 5: Solve for x
    x = 1,653,343,358,976/597,600
  6. Step 6: Final answer
    x = 2,766,638.82

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Why These Related Problems?

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