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Finding the Third Proportional to 442,144 and 947,324

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Solution

The third proportional to 442,144 and 947,324 is: 2,029,706.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,144 : 947,324 = 947,324 : x
  2. Step 2: Convert to fraction form
    442,144/947,324 = 947,324/x
  3. Step 3: Cross multiply
    442,144x = 947,324 × 947,324
  4. Step 4: Simplify right side
    442,144x = 897,422,760,976
  5. Step 5: Solve for x
    x = 897,422,760,976/442,144
  6. Step 6: Final answer
    x = 2,029,706.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.