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Finding the Third Proportional to 461,322 and 998,460

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Solution

The third proportional to 461,322 and 998,460 is: 2,161,011.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,322 : 998,460 = 998,460 : x
  2. Step 2: Convert to fraction form
    461,322/998,460 = 998,460/x
  3. Step 3: Cross multiply
    461,322x = 998,460 × 998,460
  4. Step 4: Simplify right side
    461,322x = 996,922,371,600
  5. Step 5: Solve for x
    x = 996,922,371,600/461,322
  6. Step 6: Final answer
    x = 2,161,011.99

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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.