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Finding the Third Proportional to 639,353 and 954,653

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Solution

The third proportional to 639,353 and 954,653 is: 1,425,444.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,353 : 954,653 = 954,653 : x
  2. Step 2: Convert to fraction form
    639,353/954,653 = 954,653/x
  3. Step 3: Cross multiply
    639,353x = 954,653 × 954,653
  4. Step 4: Simplify right side
    639,353x = 911,362,350,409
  5. Step 5: Solve for x
    x = 911,362,350,409/639,353
  6. Step 6: Final answer
    x = 1,425,444.71

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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.