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Finding the Third Proportional to 1,236,019 and 2,976,657

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Solution

The third proportional to 1,236,019 and 2,976,657 is: 7,168,568.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236,019 : 2,976,657 = 2,976,657 : x
  2. Step 2: Convert to fraction form
    1,236,019/2,976,657 = 2,976,657/x
  3. Step 3: Cross multiply
    1,236,019x = 2,976,657 × 2,976,657
  4. Step 4: Simplify right side
    1,236,019x = 8,860,486,895,649
  5. Step 5: Solve for x
    x = 8,860,486,895,649/1,236,019
  6. Step 6: Final answer
    x = 7,168,568.52

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.