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Finding the Third Proportional to 1,084,212.84 and 2,410,772.63

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Solution

The third proportional to 1,084,212.84 and 2,410,772.63 is: 5,360,409.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084,212.84 : 2,410,772.63 = 2,410,772.63 : x
  2. Step 2: Convert to fraction form
    1,084,212.84/2,410,772.63 = 2,410,772.63/x
  3. Step 3: Cross multiply
    1,084,212.84x = 2,410,772.63 × 2,410,772.63
  4. Step 4: Simplify right side
    1,084,212.84x = 5,811,824,649,449.39
  5. Step 5: Solve for x
    x = 5,811,824,649,449.39/1,084,212.84
  6. Step 6: Final answer
    x = 5,360,409.34

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.