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Finding the Third Proportional to 569,598 and 1,212,816

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Solution

The third proportional to 569,598 and 1,212,816 is: 2,582,387.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,598 : 1,212,816 = 1,212,816 : x
  2. Step 2: Convert to fraction form
    569,598/1,212,816 = 1,212,816/x
  3. Step 3: Cross multiply
    569,598x = 1,212,816 × 1,212,816
  4. Step 4: Simplify right side
    569,598x = 1,470,922,649,856
  5. Step 5: Solve for x
    x = 1,470,922,649,856/569,598
  6. Step 6: Final answer
    x = 2,582,387.32

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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.