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Finding the Third Proportional to 773,787 and 1,738,038

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Solution

The third proportional to 773,787 and 1,738,038 is: 3,903,885.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,787 : 1,738,038 = 1,738,038 : x
  2. Step 2: Convert to fraction form
    773,787/1,738,038 = 1,738,038/x
  3. Step 3: Cross multiply
    773,787x = 1,738,038 × 1,738,038
  4. Step 4: Simplify right side
    773,787x = 3,020,776,089,444
  5. Step 5: Solve for x
    x = 3,020,776,089,444/773,787
  6. Step 6: Final answer
    x = 3,903,885.81

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These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.