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Finding the Third Proportional to 416,557 and 862,652

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Solution

The third proportional to 416,557 and 862,652 is: 1,786,474.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,557 : 862,652 = 862,652 : x
  2. Step 2: Convert to fraction form
    416,557/862,652 = 862,652/x
  3. Step 3: Cross multiply
    416,557x = 862,652 × 862,652
  4. Step 4: Simplify right side
    416,557x = 744,168,473,104
  5. Step 5: Solve for x
    x = 744,168,473,104/416,557
  6. Step 6: Final answer
    x = 1,786,474.54

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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.