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Finding the Third Proportional to 850,338 and 1,866,546

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Solution

The third proportional to 850,338 and 1,866,546 is: 4,097,187.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,338 : 1,866,546 = 1,866,546 : x
  2. Step 2: Convert to fraction form
    850,338/1,866,546 = 1,866,546/x
  3. Step 3: Cross multiply
    850,338x = 1,866,546 × 1,866,546
  4. Step 4: Simplify right side
    850,338x = 3,483,993,970,116
  5. Step 5: Solve for x
    x = 3,483,993,970,116/850,338
  6. Step 6: Final answer
    x = 4,097,187.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.