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Finding the Third Proportional to 637,874 and 866,667

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Solution

The third proportional to 637,874 and 866,667 is: 1,177,523.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,874 : 866,667 = 866,667 : x
  2. Step 2: Convert to fraction form
    637,874/866,667 = 866,667/x
  3. Step 3: Cross multiply
    637,874x = 866,667 × 866,667
  4. Step 4: Simplify right side
    637,874x = 751,111,688,889
  5. Step 5: Solve for x
    x = 751,111,688,889/637,874
  6. Step 6: Final answer
    x = 1,177,523.60

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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.