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Finding the Third Proportional to 448,141 and 967,593

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Solution

The third proportional to 448,141 and 967,593 is: 2,089,155.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,141 : 967,593 = 967,593 : x
  2. Step 2: Convert to fraction form
    448,141/967,593 = 967,593/x
  3. Step 3: Cross multiply
    448,141x = 967,593 × 967,593
  4. Step 4: Simplify right side
    448,141x = 936,236,213,649
  5. Step 5: Solve for x
    x = 936,236,213,649/448,141
  6. Step 6: Final answer
    x = 2,089,155.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.