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Finding the Third Proportional to 671,576 and 1,013,832

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Solution

The third proportional to 671,576 and 1,013,832 is: 1,530,512.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,576 : 1,013,832 = 1,013,832 : x
  2. Step 2: Convert to fraction form
    671,576/1,013,832 = 1,013,832/x
  3. Step 3: Cross multiply
    671,576x = 1,013,832 × 1,013,832
  4. Step 4: Simplify right side
    671,576x = 1,027,855,324,224
  5. Step 5: Solve for x
    x = 1,027,855,324,224/671,576
  6. Step 6: Final answer
    x = 1,530,512.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.