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Finding the Third Proportional to 639,204 and 954,405

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Solution

The third proportional to 639,204 and 954,405 is: 1,425,036.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,204 : 954,405 = 954,405 : x
  2. Step 2: Convert to fraction form
    639,204/954,405 = 954,405/x
  3. Step 3: Cross multiply
    639,204x = 954,405 × 954,405
  4. Step 4: Simplify right side
    639,204x = 910,888,904,025
  5. Step 5: Solve for x
    x = 910,888,904,025/639,204
  6. Step 6: Final answer
    x = 1,425,036.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.