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Finding the Third Proportional to 415,977 and 851,664

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Solution

The third proportional to 415,977 and 851,664 is: 1,743,681.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,977 : 851,664 = 851,664 : x
  2. Step 2: Convert to fraction form
    415,977/851,664 = 851,664/x
  3. Step 3: Cross multiply
    415,977x = 851,664 × 851,664
  4. Step 4: Simplify right side
    415,977x = 725,331,568,896
  5. Step 5: Solve for x
    x = 725,331,568,896/415,977
  6. Step 6: Final answer
    x = 1,743,681.91

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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.