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Finding the Third Proportional to 655,947 and 985,945

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Solution

The third proportional to 655,947 and 985,945 is: 1,481,960.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,947 : 985,945 = 985,945 : x
  2. Step 2: Convert to fraction form
    655,947/985,945 = 985,945/x
  3. Step 3: Cross multiply
    655,947x = 985,945 × 985,945
  4. Step 4: Simplify right side
    655,947x = 972,087,543,025
  5. Step 5: Solve for x
    x = 972,087,543,025/655,947
  6. Step 6: Final answer
    x = 1,481,960.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.