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Finding the Third Proportional to 820,706 and 1,852,148

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Solution

The third proportional to 820,706 and 1,852,148 is: 4,179,879.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,706 : 1,852,148 = 1,852,148 : x
  2. Step 2: Convert to fraction form
    820,706/1,852,148 = 1,852,148/x
  3. Step 3: Cross multiply
    820,706x = 1,852,148 × 1,852,148
  4. Step 4: Simplify right side
    820,706x = 3,430,452,213,904
  5. Step 5: Solve for x
    x = 3,430,452,213,904/820,706
  6. Step 6: Final answer
    x = 4,179,879.54

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.