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Finding the Third Proportional to 2,857,844 and 6,164,404

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Solution

The third proportional to 2,857,844 and 6,164,404 is: 13,296,693.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857,844 : 6,164,404 = 6,164,404 : x
  2. Step 2: Convert to fraction form
    2,857,844/6,164,404 = 6,164,404/x
  3. Step 3: Cross multiply
    2,857,844x = 6,164,404 × 6,164,404
  4. Step 4: Simplify right side
    2,857,844x = 37,999,876,675,216
  5. Step 5: Solve for x
    x = 37,999,876,675,216/2,857,844
  6. Step 6: Final answer
    x = 13,296,693.83

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.