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Finding the Third Proportional to 836,211 and 1,834,827

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Solution

The third proportional to 836,211 and 1,834,827 is: 4,026,005.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,211 : 1,834,827 = 1,834,827 : x
  2. Step 2: Convert to fraction form
    836,211/1,834,827 = 1,834,827/x
  3. Step 3: Cross multiply
    836,211x = 1,834,827 × 1,834,827
  4. Step 4: Simplify right side
    836,211x = 3,366,590,119,929
  5. Step 5: Solve for x
    x = 3,366,590,119,929/836,211
  6. Step 6: Final answer
    x = 4,026,005.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.