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Finding the Third Proportional to 637,884 and 866,682

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Solution

The third proportional to 637,884 and 866,682 is: 1,177,545.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,884 : 866,682 = 866,682 : x
  2. Step 2: Convert to fraction form
    637,884/866,682 = 866,682/x
  3. Step 3: Cross multiply
    637,884x = 866,682 × 866,682
  4. Step 4: Simplify right side
    637,884x = 751,137,689,124
  5. Step 5: Solve for x
    x = 751,137,689,124/637,884
  6. Step 6: Final answer
    x = 1,177,545.90

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.