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Finding the Third Proportional to 619,839 and 1,358,505

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Solution

The third proportional to 619,839 and 1,358,505 is: 2,977,443.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,839 : 1,358,505 = 1,358,505 : x
  2. Step 2: Convert to fraction form
    619,839/1,358,505 = 1,358,505/x
  3. Step 3: Cross multiply
    619,839x = 1,358,505 × 1,358,505
  4. Step 4: Simplify right side
    619,839x = 1,845,535,835,025
  5. Step 5: Solve for x
    x = 1,845,535,835,025/619,839
  6. Step 6: Final answer
    x = 2,977,443.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.