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Finding the Third Proportional to 634,237 and 869,706

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Solution

The third proportional to 634,237 and 869,706 is: 1,192,596.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,237 : 869,706 = 869,706 : x
  2. Step 2: Convert to fraction form
    634,237/869,706 = 869,706/x
  3. Step 3: Cross multiply
    634,237x = 869,706 × 869,706
  4. Step 4: Simplify right side
    634,237x = 756,388,526,436
  5. Step 5: Solve for x
    x = 756,388,526,436/634,237
  6. Step 6: Final answer
    x = 1,192,596.03

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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.