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Finding the Third Proportional to 441,477 and 953,517

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Solution

The third proportional to 441,477 and 953,517 is: 2,059,438.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,477 : 953,517 = 953,517 : x
  2. Step 2: Convert to fraction form
    441,477/953,517 = 953,517/x
  3. Step 3: Cross multiply
    441,477x = 953,517 × 953,517
  4. Step 4: Simplify right side
    441,477x = 909,194,669,289
  5. Step 5: Solve for x
    x = 909,194,669,289/441,477
  6. Step 6: Final answer
    x = 2,059,438.36

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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.