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Finding the Third Proportional to 521,954 and 1,112,274

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Solution

The third proportional to 521,954 and 1,112,274 is: 2,370,234.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,954 : 1,112,274 = 1,112,274 : x
  2. Step 2: Convert to fraction form
    521,954/1,112,274 = 1,112,274/x
  3. Step 3: Cross multiply
    521,954x = 1,112,274 × 1,112,274
  4. Step 4: Simplify right side
    521,954x = 1,237,153,451,076
  5. Step 5: Solve for x
    x = 1,237,153,451,076/521,954
  6. Step 6: Final answer
    x = 2,370,234.64

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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.