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Finding the Third Proportional to 445,849 and 966,378

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Solution

The third proportional to 445,849 and 966,378 is: 2,094,624.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,849 : 966,378 = 966,378 : x
  2. Step 2: Convert to fraction form
    445,849/966,378 = 966,378/x
  3. Step 3: Cross multiply
    445,849x = 966,378 × 966,378
  4. Step 4: Simplify right side
    445,849x = 933,886,438,884
  5. Step 5: Solve for x
    x = 933,886,438,884/445,849
  6. Step 6: Final answer
    x = 2,094,624.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.