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Finding the Third Proportional to 517,824 and 1,110,240

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Solution

The third proportional to 517,824 and 1,110,240 is: 2,380,408.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,824 : 1,110,240 = 1,110,240 : x
  2. Step 2: Convert to fraction form
    517,824/1,110,240 = 1,110,240/x
  3. Step 3: Cross multiply
    517,824x = 1,110,240 × 1,110,240
  4. Step 4: Simplify right side
    517,824x = 1,232,632,857,600
  5. Step 5: Solve for x
    x = 1,232,632,857,600/517,824
  6. Step 6: Final answer
    x = 2,380,408.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.