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Finding the Third Proportional to 461,330 and 998,476

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Solution

The third proportional to 461,330 and 998,476 is: 2,161,043.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,330 : 998,476 = 998,476 : x
  2. Step 2: Convert to fraction form
    461,330/998,476 = 998,476/x
  3. Step 3: Cross multiply
    461,330x = 998,476 × 998,476
  4. Step 4: Simplify right side
    461,330x = 996,954,322,576
  5. Step 5: Solve for x
    x = 996,954,322,576/461,330
  6. Step 6: Final answer
    x = 2,161,043.77

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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.