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Finding the Third Proportional to 468,955 and 954,483

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Solution

The third proportional to 468,955 and 954,483 is: 1,942,697.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,955 : 954,483 = 954,483 : x
  2. Step 2: Convert to fraction form
    468,955/954,483 = 954,483/x
  3. Step 3: Cross multiply
    468,955x = 954,483 × 954,483
  4. Step 4: Simplify right side
    468,955x = 911,037,797,289
  5. Step 5: Solve for x
    x = 911,037,797,289/468,955
  6. Step 6: Final answer
    x = 1,942,697.69

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.