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Finding the Third Proportional to 1,241,296 and 1,898,016

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Solution

The third proportional to 1,241,296 and 1,898,016 is: 2,902,180.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241,296 : 1,898,016 = 1,898,016 : x
  2. Step 2: Convert to fraction form
    1,241,296/1,898,016 = 1,898,016/x
  3. Step 3: Cross multiply
    1,241,296x = 1,898,016 × 1,898,016
  4. Step 4: Simplify right side
    1,241,296x = 3,602,464,736,256
  5. Step 5: Solve for x
    x = 3,602,464,736,256/1,241,296
  6. Step 6: Final answer
    x = 2,902,180.25

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.