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Finding the Third Proportional to 450,246 and 960,744

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Solution

The third proportional to 450,246 and 960,744 is: 2,050,054.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,246 : 960,744 = 960,744 : x
  2. Step 2: Convert to fraction form
    450,246/960,744 = 960,744/x
  3. Step 3: Cross multiply
    450,246x = 960,744 × 960,744
  4. Step 4: Simplify right side
    450,246x = 923,029,033,536
  5. Step 5: Solve for x
    x = 923,029,033,536/450,246
  6. Step 6: Final answer
    x = 2,050,054.93

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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.