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Finding the Third Proportional to 437,936 and 944,236

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Solution

The third proportional to 437,936 and 944,236 is: 2,035,871.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,936 : 944,236 = 944,236 : x
  2. Step 2: Convert to fraction form
    437,936/944,236 = 944,236/x
  3. Step 3: Cross multiply
    437,936x = 944,236 × 944,236
  4. Step 4: Simplify right side
    437,936x = 891,581,623,696
  5. Step 5: Solve for x
    x = 891,581,623,696/437,936
  6. Step 6: Final answer
    x = 2,035,871.96

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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.