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Finding the Third Proportional to 451,814 and 941,050

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Solution

The third proportional to 451,814 and 941,050 is: 1,960,043.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,814 : 941,050 = 941,050 : x
  2. Step 2: Convert to fraction form
    451,814/941,050 = 941,050/x
  3. Step 3: Cross multiply
    451,814x = 941,050 × 941,050
  4. Step 4: Simplify right side
    451,814x = 885,575,102,500
  5. Step 5: Solve for x
    x = 885,575,102,500/451,814
  6. Step 6: Final answer
    x = 1,960,043.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.