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Finding the Third Proportional to 919,650 and 1,418,839

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Solution

The third proportional to 919,650 and 1,418,839 is: 2,188,989.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,650 : 1,418,839 = 1,418,839 : x
  2. Step 2: Convert to fraction form
    919,650/1,418,839 = 1,418,839/x
  3. Step 3: Cross multiply
    919,650x = 1,418,839 × 1,418,839
  4. Step 4: Simplify right side
    919,650x = 2,013,104,107,921
  5. Step 5: Solve for x
    x = 2,013,104,107,921/919,650
  6. Step 6: Final answer
    x = 2,188,989.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.