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Finding the Third Proportional to 451,188 and 671,922

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Solution

The third proportional to 451,188 and 671,922 is: 1,000,645.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,188 : 671,922 = 671,922 : x
  2. Step 2: Convert to fraction form
    451,188/671,922 = 671,922/x
  3. Step 3: Cross multiply
    451,188x = 671,922 × 671,922
  4. Step 4: Simplify right side
    451,188x = 451,479,174,084
  5. Step 5: Solve for x
    x = 451,479,174,084/451,188
  6. Step 6: Final answer
    x = 1,000,645.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.