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Finding the Third Proportional to 619,839 and 1,357,614

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Solution

The third proportional to 619,839 and 1,357,614 is: 2,973,539.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,839 : 1,357,614 = 1,357,614 : x
  2. Step 2: Convert to fraction form
    619,839/1,357,614 = 1,357,614/x
  3. Step 3: Cross multiply
    619,839x = 1,357,614 × 1,357,614
  4. Step 4: Simplify right side
    619,839x = 1,843,115,772,996
  5. Step 5: Solve for x
    x = 1,843,115,772,996/619,839
  6. Step 6: Final answer
    x = 2,973,539.54

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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.