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Finding the Third Proportional to 450,185 and 960,634

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Solution

The third proportional to 450,185 and 960,634 is: 2,049,863.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,185 : 960,634 = 960,634 : x
  2. Step 2: Convert to fraction form
    450,185/960,634 = 960,634/x
  3. Step 3: Cross multiply
    450,185x = 960,634 × 960,634
  4. Step 4: Simplify right side
    450,185x = 922,817,681,956
  5. Step 5: Solve for x
    x = 922,817,681,956/450,185
  6. Step 6: Final answer
    x = 2,049,863.24

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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.