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Finding the Third Proportional to 416,562 and 862,661

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Solution

The third proportional to 416,562 and 862,661 is: 1,786,490.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,562 : 862,661 = 862,661 : x
  2. Step 2: Convert to fraction form
    416,562/862,661 = 862,661/x
  3. Step 3: Cross multiply
    416,562x = 862,661 × 862,661
  4. Step 4: Simplify right side
    416,562x = 744,184,000,921
  5. Step 5: Solve for x
    x = 744,184,000,921/416,562
  6. Step 6: Final answer
    x = 1,786,490.37

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.