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Finding the Third Proportional to 836,268 and 1,274,066

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Solution

The third proportional to 836,268 and 1,274,066 is: 1,941,057.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,268 : 1,274,066 = 1,274,066 : x
  2. Step 2: Convert to fraction form
    836,268/1,274,066 = 1,274,066/x
  3. Step 3: Cross multiply
    836,268x = 1,274,066 × 1,274,066
  4. Step 4: Simplify right side
    836,268x = 1,623,244,172,356
  5. Step 5: Solve for x
    x = 1,623,244,172,356/836,268
  6. Step 6: Final answer
    x = 1,941,057.38

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.