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Finding the Third Proportional to 481,380 and 1,044,408

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Solution

The third proportional to 481,380 and 1,044,408 is: 2,265,960.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,380 : 1,044,408 = 1,044,408 : x
  2. Step 2: Convert to fraction form
    481,380/1,044,408 = 1,044,408/x
  3. Step 3: Cross multiply
    481,380x = 1,044,408 × 1,044,408
  4. Step 4: Simplify right side
    481,380x = 1,090,788,070,464
  5. Step 5: Solve for x
    x = 1,090,788,070,464/481,380
  6. Step 6: Final answer
    x = 2,265,960.51

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.