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Finding the Third Proportional to 450,171 and 960,606

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Solution

The third proportional to 450,171 and 960,606 is: 2,049,807.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,171 : 960,606 = 960,606 : x
  2. Step 2: Convert to fraction form
    450,171/960,606 = 960,606/x
  3. Step 3: Cross multiply
    450,171x = 960,606 × 960,606
  4. Step 4: Simplify right side
    450,171x = 922,763,887,236
  5. Step 5: Solve for x
    x = 922,763,887,236/450,171
  6. Step 6: Final answer
    x = 2,049,807.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.