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Finding the Third Proportional to 399,926 and 944,084

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Solution

The third proportional to 399,926 and 944,084 is: 2,228,648.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,926 : 944,084 = 944,084 : x
  2. Step 2: Convert to fraction form
    399,926/944,084 = 944,084/x
  3. Step 3: Cross multiply
    399,926x = 944,084 × 944,084
  4. Step 4: Simplify right side
    399,926x = 891,294,599,056
  5. Step 5: Solve for x
    x = 891,294,599,056/399,926
  6. Step 6: Final answer
    x = 2,228,648.80

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.