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Finding the Third Proportional to 671,920 and 1,452,272

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Solution

The third proportional to 671,920 and 1,452,272 is: 3,138,906.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,920 : 1,452,272 = 1,452,272 : x
  2. Step 2: Convert to fraction form
    671,920/1,452,272 = 1,452,272/x
  3. Step 3: Cross multiply
    671,920x = 1,452,272 × 1,452,272
  4. Step 4: Simplify right side
    671,920x = 2,109,093,961,984
  5. Step 5: Solve for x
    x = 2,109,093,961,984/671,920
  6. Step 6: Final answer
    x = 3,138,906.36

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.