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Finding the Third Proportional to 415,938 and 851,578

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Solution

The third proportional to 415,938 and 851,578 is: 1,743,493.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,938 : 851,578 = 851,578 : x
  2. Step 2: Convert to fraction form
    415,938/851,578 = 851,578/x
  3. Step 3: Cross multiply
    415,938x = 851,578 × 851,578
  4. Step 4: Simplify right side
    415,938x = 725,185,090,084
  5. Step 5: Solve for x
    x = 725,185,090,084/415,938
  6. Step 6: Final answer
    x = 1,743,493.24

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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.