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Finding the Third Proportional to 453,326 and 984,268

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Solution

The third proportional to 453,326 and 984,268 is: 2,137,056.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,326 : 984,268 = 984,268 : x
  2. Step 2: Convert to fraction form
    453,326/984,268 = 984,268/x
  3. Step 3: Cross multiply
    453,326x = 984,268 × 984,268
  4. Step 4: Simplify right side
    453,326x = 968,783,495,824
  5. Step 5: Solve for x
    x = 968,783,495,824/453,326
  6. Step 6: Final answer
    x = 2,137,056.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.