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Finding the Third Proportional to 456,914 and 990,096

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Solution

The third proportional to 456,914 and 990,096 is: 2,145,458.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,914 : 990,096 = 990,096 : x
  2. Step 2: Convert to fraction form
    456,914/990,096 = 990,096/x
  3. Step 3: Cross multiply
    456,914x = 990,096 × 990,096
  4. Step 4: Simplify right side
    456,914x = 980,290,089,216
  5. Step 5: Solve for x
    x = 980,290,089,216/456,914
  6. Step 6: Final answer
    x = 2,145,458.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.