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Finding the Third Proportional to 634,144 and 869,568

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Solution

The third proportional to 634,144 and 869,568 is: 1,192,392.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,144 : 869,568 = 869,568 : x
  2. Step 2: Convert to fraction form
    634,144/869,568 = 869,568/x
  3. Step 3: Cross multiply
    634,144x = 869,568 × 869,568
  4. Step 4: Simplify right side
    634,144x = 756,148,506,624
  5. Step 5: Solve for x
    x = 756,148,506,624/634,144
  6. Step 6: Final answer
    x = 1,192,392.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.