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Finding the Third Proportional to 521,256 and 1,126,828

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Solution

The third proportional to 521,256 and 1,126,828 is: 2,435,926.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,256 : 1,126,828 = 1,126,828 : x
  2. Step 2: Convert to fraction form
    521,256/1,126,828 = 1,126,828/x
  3. Step 3: Cross multiply
    521,256x = 1,126,828 × 1,126,828
  4. Step 4: Simplify right side
    521,256x = 1,269,741,341,584
  5. Step 5: Solve for x
    x = 1,269,741,341,584/521,256
  6. Step 6: Final answer
    x = 2,435,926.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.