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Finding the Third Proportional to 920,550 and 1,969,041

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Solution

The third proportional to 920,550 and 1,969,041 is: 4,211,745.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,550 : 1,969,041 = 1,969,041 : x
  2. Step 2: Convert to fraction form
    920,550/1,969,041 = 1,969,041/x
  3. Step 3: Cross multiply
    920,550x = 1,969,041 × 1,969,041
  4. Step 4: Simplify right side
    920,550x = 3,877,122,459,681
  5. Step 5: Solve for x
    x = 3,877,122,459,681/920,550
  6. Step 6: Final answer
    x = 4,211,745.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.