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Finding the Third Proportional to 704,256 and 1,373,232

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Solution

The third proportional to 704,256 and 1,373,232 is: 2,677,671.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,256 : 1,373,232 = 1,373,232 : x
  2. Step 2: Convert to fraction form
    704,256/1,373,232 = 1,373,232/x
  3. Step 3: Cross multiply
    704,256x = 1,373,232 × 1,373,232
  4. Step 4: Simplify right side
    704,256x = 1,885,766,125,824
  5. Step 5: Solve for x
    x = 1,885,766,125,824/704,256
  6. Step 6: Final answer
    x = 2,677,671.37

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.