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Finding the Third Proportional to 566,224 and 1,226,912

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Solution

The third proportional to 566,224 and 1,226,912 is: 2,658,511.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,224 : 1,226,912 = 1,226,912 : x
  2. Step 2: Convert to fraction form
    566,224/1,226,912 = 1,226,912/x
  3. Step 3: Cross multiply
    566,224x = 1,226,912 × 1,226,912
  4. Step 4: Simplify right side
    566,224x = 1,505,313,055,744
  5. Step 5: Solve for x
    x = 1,505,313,055,744/566,224
  6. Step 6: Final answer
    x = 2,658,511.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.