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Finding the Third Proportional to 437,884 and 944,168

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Solution

The third proportional to 437,884 and 944,168 is: 2,035,820.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,884 : 944,168 = 944,168 : x
  2. Step 2: Convert to fraction form
    437,884/944,168 = 944,168/x
  3. Step 3: Cross multiply
    437,884x = 944,168 × 944,168
  4. Step 4: Simplify right side
    437,884x = 891,453,212,224
  5. Step 5: Solve for x
    x = 891,453,212,224/437,884
  6. Step 6: Final answer
    x = 2,035,820.47

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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.