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Finding the Third Proportional to 874,606 and 1,314,610

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Solution

The third proportional to 874,606 and 1,314,610 is: 1,975,974.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,606 : 1,314,610 = 1,314,610 : x
  2. Step 2: Convert to fraction form
    874,606/1,314,610 = 1,314,610/x
  3. Step 3: Cross multiply
    874,606x = 1,314,610 × 1,314,610
  4. Step 4: Simplify right side
    874,606x = 1,728,199,452,100
  5. Step 5: Solve for x
    x = 1,728,199,452,100/874,606
  6. Step 6: Final answer
    x = 1,975,974.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.