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Finding the Third Proportional to 836,276 and 1,262,198

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Solution

The third proportional to 836,276 and 1,262,198 is: 1,905,045.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,276 : 1,262,198 = 1,262,198 : x
  2. Step 2: Convert to fraction form
    836,276/1,262,198 = 1,262,198/x
  3. Step 3: Cross multiply
    836,276x = 1,262,198 × 1,262,198
  4. Step 4: Simplify right side
    836,276x = 1,593,143,791,204
  5. Step 5: Solve for x
    x = 1,593,143,791,204/836,276
  6. Step 6: Final answer
    x = 1,905,045.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.