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Finding the Third Proportional to 416,567 and 862,671

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Solution

The third proportional to 416,567 and 862,671 is: 1,786,510.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,567 : 862,671 = 862,671 : x
  2. Step 2: Convert to fraction form
    416,567/862,671 = 862,671/x
  3. Step 3: Cross multiply
    416,567x = 862,671 × 862,671
  4. Step 4: Simplify right side
    416,567x = 744,201,254,241
  5. Step 5: Solve for x
    x = 744,201,254,241/416,567
  6. Step 6: Final answer
    x = 1,786,510.34

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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.