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Finding the Third Proportional to 399,918 and 944,064

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Solution

The third proportional to 399,918 and 944,064 is: 2,228,598.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,918 : 944,064 = 944,064 : x
  2. Step 2: Convert to fraction form
    399,918/944,064 = 944,064/x
  3. Step 3: Cross multiply
    399,918x = 944,064 × 944,064
  4. Step 4: Simplify right side
    399,918x = 891,256,836,096
  5. Step 5: Solve for x
    x = 891,256,836,096/399,918
  6. Step 6: Final answer
    x = 2,228,598.95

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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.