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Finding the Third Proportional to 468,962 and 954,498

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Solution

The third proportional to 468,962 and 954,498 is: 1,942,729.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,962 : 954,498 = 954,498 : x
  2. Step 2: Convert to fraction form
    468,962/954,498 = 954,498/x
  3. Step 3: Cross multiply
    468,962x = 954,498 × 954,498
  4. Step 4: Simplify right side
    468,962x = 911,066,432,004
  5. Step 5: Solve for x
    x = 911,066,432,004/468,962
  6. Step 6: Final answer
    x = 1,942,729.76

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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.