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Finding the Third Proportional to 947,380 and 1,418,600

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Solution

The third proportional to 947,380 and 1,418,600 is: 2,124,201.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,380 : 1,418,600 = 1,418,600 : x
  2. Step 2: Convert to fraction form
    947,380/1,418,600 = 1,418,600/x
  3. Step 3: Cross multiply
    947,380x = 1,418,600 × 1,418,600
  4. Step 4: Simplify right side
    947,380x = 2,012,425,960,000
  5. Step 5: Solve for x
    x = 2,012,425,960,000/947,380
  6. Step 6: Final answer
    x = 2,124,201.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.