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Finding the Third Proportional to 441,762 and 960,852

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Solution

The third proportional to 441,762 and 960,852 is: 2,089,895.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,762 : 960,852 = 960,852 : x
  2. Step 2: Convert to fraction form
    441,762/960,852 = 960,852/x
  3. Step 3: Cross multiply
    441,762x = 960,852 × 960,852
  4. Step 4: Simplify right side
    441,762x = 923,236,565,904
  5. Step 5: Solve for x
    x = 923,236,565,904/441,762
  6. Step 6: Final answer
    x = 2,089,895.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.