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Finding the Third Proportional to 390,851 and 856,519

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Solution

The third proportional to 390,851 and 856,519 is: 1,876,993.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,851 : 856,519 = 856,519 : x
  2. Step 2: Convert to fraction form
    390,851/856,519 = 856,519/x
  3. Step 3: Cross multiply
    390,851x = 856,519 × 856,519
  4. Step 4: Simplify right side
    390,851x = 733,624,797,361
  5. Step 5: Solve for x
    x = 733,624,797,361/390,851
  6. Step 6: Final answer
    x = 1,876,993.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.