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Finding the Third Proportional to 634,036 and 863,556

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Solution

The third proportional to 634,036 and 863,556 is: 1,176,161.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,036 : 863,556 = 863,556 : x
  2. Step 2: Convert to fraction form
    634,036/863,556 = 863,556/x
  3. Step 3: Cross multiply
    634,036x = 863,556 × 863,556
  4. Step 4: Simplify right side
    634,036x = 745,728,965,136
  5. Step 5: Solve for x
    x = 745,728,965,136/634,036
  6. Step 6: Final answer
    x = 1,176,161.87

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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.