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Finding the Third Proportional to 450,051 and 960,366

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Solution

The third proportional to 450,051 and 960,366 is: 2,049,329.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,051 : 960,366 = 960,366 : x
  2. Step 2: Convert to fraction form
    450,051/960,366 = 960,366/x
  3. Step 3: Cross multiply
    450,051x = 960,366 × 960,366
  4. Step 4: Simplify right side
    450,051x = 922,302,853,956
  5. Step 5: Solve for x
    x = 922,302,853,956/450,051
  6. Step 6: Final answer
    x = 2,049,329.64

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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.