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Finding the Third Proportional to 426,824 and 914,504

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Solution

The third proportional to 426,824 and 914,504 is: 1,959,396.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,824 : 914,504 = 914,504 : x
  2. Step 2: Convert to fraction form
    426,824/914,504 = 914,504/x
  3. Step 3: Cross multiply
    426,824x = 914,504 × 914,504
  4. Step 4: Simplify right side
    426,824x = 836,317,566,016
  5. Step 5: Solve for x
    x = 836,317,566,016/426,824
  6. Step 6: Final answer
    x = 1,959,396.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.