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Finding the Third Proportional to 569,602 and 1,212,824

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Solution

The third proportional to 569,602 and 1,212,824 is: 2,582,403.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,602 : 1,212,824 = 1,212,824 : x
  2. Step 2: Convert to fraction form
    569,602/1,212,824 = 1,212,824/x
  3. Step 3: Cross multiply
    569,602x = 1,212,824 × 1,212,824
  4. Step 4: Simplify right side
    569,602x = 1,470,942,054,976
  5. Step 5: Solve for x
    x = 1,470,942,054,976/569,602
  6. Step 6: Final answer
    x = 2,582,403.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.