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Finding the Third Proportional to 676,166 and 966,856

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Solution

The third proportional to 676,166 and 966,856 is: 1,382,516.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,166 : 966,856 = 966,856 : x
  2. Step 2: Convert to fraction form
    676,166/966,856 = 966,856/x
  3. Step 3: Cross multiply
    676,166x = 966,856 × 966,856
  4. Step 4: Simplify right side
    676,166x = 934,810,524,736
  5. Step 5: Solve for x
    x = 934,810,524,736/676,166
  6. Step 6: Final answer
    x = 1,382,516.31

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.