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Finding the Third Proportional to 671,586 and 1,461,324

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Solution

The third proportional to 671,586 and 1,461,324 is: 3,179,738.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,586 : 1,461,324 = 1,461,324 : x
  2. Step 2: Convert to fraction form
    671,586/1,461,324 = 1,461,324/x
  3. Step 3: Cross multiply
    671,586x = 1,461,324 × 1,461,324
  4. Step 4: Simplify right side
    671,586x = 2,135,467,832,976
  5. Step 5: Solve for x
    x = 2,135,467,832,976/671,586
  6. Step 6: Final answer
    x = 3,179,738.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.