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Finding the Third Proportional to 437,872 and 944,144

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Solution

The third proportional to 437,872 and 944,144 is: 2,035,772.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,872 : 944,144 = 944,144 : x
  2. Step 2: Convert to fraction form
    437,872/944,144 = 944,144/x
  3. Step 3: Cross multiply
    437,872x = 944,144 × 944,144
  4. Step 4: Simplify right side
    437,872x = 891,407,892,736
  5. Step 5: Solve for x
    x = 891,407,892,736/437,872
  6. Step 6: Final answer
    x = 2,035,772.77

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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.