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Finding the Third Proportional to 476,606 and 992,416

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Solution

The third proportional to 476,606 and 992,416 is: 2,066,464.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,606 : 992,416 = 992,416 : x
  2. Step 2: Convert to fraction form
    476,606/992,416 = 992,416/x
  3. Step 3: Cross multiply
    476,606x = 992,416 × 992,416
  4. Step 4: Simplify right side
    476,606x = 984,889,517,056
  5. Step 5: Solve for x
    x = 984,889,517,056/476,606
  6. Step 6: Final answer
    x = 2,066,464.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.