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Finding the Third Proportional to 842,211 and 1,826,307

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Solution

The third proportional to 842,211 and 1,826,307 is: 3,960,286.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,211 : 1,826,307 = 1,826,307 : x
  2. Step 2: Convert to fraction form
    842,211/1,826,307 = 1,826,307/x
  3. Step 3: Cross multiply
    842,211x = 1,826,307 × 1,826,307
  4. Step 4: Simplify right side
    842,211x = 3,335,397,258,249
  5. Step 5: Solve for x
    x = 3,335,397,258,249/842,211
  6. Step 6: Final answer
    x = 3,960,286.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.