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Finding the Third Proportional to 1,203,669 and 1,869,777

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Solution

The third proportional to 1,203,669 and 1,869,777 is: 2,904,507.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203,669 : 1,869,777 = 1,869,777 : x
  2. Step 2: Convert to fraction form
    1,203,669/1,869,777 = 1,869,777/x
  3. Step 3: Cross multiply
    1,203,669x = 1,869,777 × 1,869,777
  4. Step 4: Simplify right side
    1,203,669x = 3,496,066,029,729
  5. Step 5: Solve for x
    x = 3,496,066,029,729/1,203,669
  6. Step 6: Final answer
    x = 2,904,507.83

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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.