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Finding the Third Proportional to 951,544 and 1,457,456

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Solution

The third proportional to 951,544 and 1,457,456 is: 2,232,348.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    951,544 : 1,457,456 = 1,457,456 : x
  2. Step 2: Convert to fraction form
    951,544/1,457,456 = 1,457,456/x
  3. Step 3: Cross multiply
    951,544x = 1,457,456 × 1,457,456
  4. Step 4: Simplify right side
    951,544x = 2,124,177,991,936
  5. Step 5: Solve for x
    x = 2,124,177,991,936/951,544
  6. Step 6: Final answer
    x = 2,232,348.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.