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Finding the Third Proportional to 2,254,799 and 3,489,848

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Solution

The third proportional to 2,254,799 and 3,489,848 is: 5,401,385.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254,799 : 3,489,848 = 3,489,848 : x
  2. Step 2: Convert to fraction form
    2,254,799/3,489,848 = 3,489,848/x
  3. Step 3: Cross multiply
    2,254,799x = 3,489,848 × 3,489,848
  4. Step 4: Simplify right side
    2,254,799x = 12,179,039,063,104
  5. Step 5: Solve for x
    x = 12,179,039,063,104/2,254,799
  6. Step 6: Final answer
    x = 5,401,385.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.