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Finding the Third Proportional to 403,078 and 869,094

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Solution

The third proportional to 403,078 and 869,094 is: 1,873,891.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,078 : 869,094 = 869,094 : x
  2. Step 2: Convert to fraction form
    403,078/869,094 = 869,094/x
  3. Step 3: Cross multiply
    403,078x = 869,094 × 869,094
  4. Step 4: Simplify right side
    403,078x = 755,324,380,836
  5. Step 5: Solve for x
    x = 755,324,380,836/403,078
  6. Step 6: Final answer
    x = 1,873,891.36

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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.