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Finding the Third Proportional to 415,936 and 851,539

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Solution

The third proportional to 415,936 and 851,539 is: 1,743,341.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,936 : 851,539 = 851,539 : x
  2. Step 2: Convert to fraction form
    415,936/851,539 = 851,539/x
  3. Step 3: Cross multiply
    415,936x = 851,539 × 851,539
  4. Step 4: Simplify right side
    415,936x = 725,118,668,521
  5. Step 5: Solve for x
    x = 725,118,668,521/415,936
  6. Step 6: Final answer
    x = 1,743,341.93

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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.