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Finding the Third Proportional to 762,558 and 1,505,970

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Solution

The third proportional to 762,558 and 1,505,970 is: 2,974,128.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,558 : 1,505,970 = 1,505,970 : x
  2. Step 2: Convert to fraction form
    762,558/1,505,970 = 1,505,970/x
  3. Step 3: Cross multiply
    762,558x = 1,505,970 × 1,505,970
  4. Step 4: Simplify right side
    762,558x = 2,267,945,640,900
  5. Step 5: Solve for x
    x = 2,267,945,640,900/762,558
  6. Step 6: Final answer
    x = 2,974,128.71

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.