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Finding the Third Proportional to 1,843,014 and 2,884,839

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Solution

The third proportional to 1,843,014 and 2,884,839 is: 4,515,590.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843,014 : 2,884,839 = 2,884,839 : x
  2. Step 2: Convert to fraction form
    1,843,014/2,884,839 = 2,884,839/x
  3. Step 3: Cross multiply
    1,843,014x = 2,884,839 × 2,884,839
  4. Step 4: Simplify right side
    1,843,014x = 8,322,296,055,921
  5. Step 5: Solve for x
    x = 8,322,296,055,921/1,843,014
  6. Step 6: Final answer
    x = 4,515,590.25

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.