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Finding the Third Proportional to 471,524 and 964,834

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Solution

The third proportional to 471,524 and 964,834 is: 1,974,246.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,524 : 964,834 = 964,834 : x
  2. Step 2: Convert to fraction form
    471,524/964,834 = 964,834/x
  3. Step 3: Cross multiply
    471,524x = 964,834 × 964,834
  4. Step 4: Simplify right side
    471,524x = 930,904,647,556
  5. Step 5: Solve for x
    x = 930,904,647,556/471,524
  6. Step 6: Final answer
    x = 1,974,246.59

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.