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Finding the Third Proportional to 521,811 and 1,132,851

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Solution

The third proportional to 521,811 and 1,132,851 is: 2,459,418.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,811 : 1,132,851 = 1,132,851 : x
  2. Step 2: Convert to fraction form
    521,811/1,132,851 = 1,132,851/x
  3. Step 3: Cross multiply
    521,811x = 1,132,851 × 1,132,851
  4. Step 4: Simplify right side
    521,811x = 1,283,351,388,201
  5. Step 5: Solve for x
    x = 1,283,351,388,201/521,811
  6. Step 6: Final answer
    x = 2,459,418.04

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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.