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Finding the Third Proportional to 1,300,698 and 2,782,188

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Solution

The third proportional to 1,300,698 and 2,782,188 is: 5,951,089.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300,698 : 2,782,188 = 2,782,188 : x
  2. Step 2: Convert to fraction form
    1,300,698/2,782,188 = 2,782,188/x
  3. Step 3: Cross multiply
    1,300,698x = 2,782,188 × 2,782,188
  4. Step 4: Simplify right side
    1,300,698x = 7,740,570,067,344
  5. Step 5: Solve for x
    x = 7,740,570,067,344/1,300,698
  6. Step 6: Final answer
    x = 5,951,089.39

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.