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Finding the Third Proportional to 442,989 and 960,093

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Solution

The third proportional to 442,989 and 960,093 is: 2,080,815.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,989 : 960,093 = 960,093 : x
  2. Step 2: Convert to fraction form
    442,989/960,093 = 960,093/x
  3. Step 3: Cross multiply
    442,989x = 960,093 × 960,093
  4. Step 4: Simplify right side
    442,989x = 921,778,568,649
  5. Step 5: Solve for x
    x = 921,778,568,649/442,989
  6. Step 6: Final answer
    x = 2,080,815.93

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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.