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Finding the Third Proportional to 671,745 and 1,419,324

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Solution

The third proportional to 671,745 and 1,419,324 is: 2,998,876.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,745 : 1,419,324 = 1,419,324 : x
  2. Step 2: Convert to fraction form
    671,745/1,419,324 = 1,419,324/x
  3. Step 3: Cross multiply
    671,745x = 1,419,324 × 1,419,324
  4. Step 4: Simplify right side
    671,745x = 2,014,480,616,976
  5. Step 5: Solve for x
    x = 2,014,480,616,976/671,745
  6. Step 6: Final answer
    x = 2,998,876.98

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.