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Finding the Third Proportional to 676,962 and 1,486,761

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Solution

The third proportional to 676,962 and 1,486,761 is: 3,265,261.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,962 : 1,486,761 = 1,486,761 : x
  2. Step 2: Convert to fraction form
    676,962/1,486,761 = 1,486,761/x
  3. Step 3: Cross multiply
    676,962x = 1,486,761 × 1,486,761
  4. Step 4: Simplify right side
    676,962x = 2,210,458,271,121
  5. Step 5: Solve for x
    x = 2,210,458,271,121/676,962
  6. Step 6: Final answer
    x = 3,265,261.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.