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Finding the Third Proportional to 450,192 and 960,648

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Solution

The third proportional to 450,192 and 960,648 is: 2,049,891.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,192 : 960,648 = 960,648 : x
  2. Step 2: Convert to fraction form
    450,192/960,648 = 960,648/x
  3. Step 3: Cross multiply
    450,192x = 960,648 × 960,648
  4. Step 4: Simplify right side
    450,192x = 922,844,579,904
  5. Step 5: Solve for x
    x = 922,844,579,904/450,192
  6. Step 6: Final answer
    x = 2,049,891.11

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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.