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Finding the Third Proportional to 467,112 and 967,440

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Solution

The third proportional to 467,112 and 967,440 is: 2,003,673.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,112 : 967,440 = 967,440 : x
  2. Step 2: Convert to fraction form
    467,112/967,440 = 967,440/x
  3. Step 3: Cross multiply
    467,112x = 967,440 × 967,440
  4. Step 4: Simplify right side
    467,112x = 935,940,153,600
  5. Step 5: Solve for x
    x = 935,940,153,600/467,112
  6. Step 6: Final answer
    x = 2,003,673.97

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.