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Finding the Third Proportional to 461,335 and 998,485

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Solution

The third proportional to 461,335 and 998,485 is: 2,161,059.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,335 : 998,485 = 998,485 : x
  2. Step 2: Convert to fraction form
    461,335/998,485 = 998,485/x
  3. Step 3: Cross multiply
    461,335x = 998,485 × 998,485
  4. Step 4: Simplify right side
    461,335x = 996,972,295,225
  5. Step 5: Solve for x
    x = 996,972,295,225/461,335
  6. Step 6: Final answer
    x = 2,161,059.31

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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.