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Finding the Third Proportional to 445,846 and 966,374

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Solution

The third proportional to 445,846 and 966,374 is: 2,094,621.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,846 : 966,374 = 966,374 : x
  2. Step 2: Convert to fraction form
    445,846/966,374 = 966,374/x
  3. Step 3: Cross multiply
    445,846x = 966,374 × 966,374
  4. Step 4: Simplify right side
    445,846x = 933,878,707,876
  5. Step 5: Solve for x
    x = 933,878,707,876/445,846
  6. Step 6: Final answer
    x = 2,094,621.70

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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.