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Finding the Third Proportional to 431,196 and 916,824

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Solution

The third proportional to 431,196 and 916,824 is: 1,949,383.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,196 : 916,824 = 916,824 : x
  2. Step 2: Convert to fraction form
    431,196/916,824 = 916,824/x
  3. Step 3: Cross multiply
    431,196x = 916,824 × 916,824
  4. Step 4: Simplify right side
    431,196x = 840,566,246,976
  5. Step 5: Solve for x
    x = 840,566,246,976/431,196
  6. Step 6: Final answer
    x = 1,949,383.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.