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Finding the Third Proportional to 1,841,000 and 3,809,824

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Solution

The third proportional to 1,841,000 and 3,809,824 is: 7,884,171.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841,000 : 3,809,824 = 3,809,824 : x
  2. Step 2: Convert to fraction form
    1,841,000/3,809,824 = 3,809,824/x
  3. Step 3: Cross multiply
    1,841,000x = 3,809,824 × 3,809,824
  4. Step 4: Simplify right side
    1,841,000x = 14,514,758,910,976
  5. Step 5: Solve for x
    x = 14,514,758,910,976/1,841,000
  6. Step 6: Final answer
    x = 7,884,171.05

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.