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Finding the Third Proportional to 774,234 and 1,619,424

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Solution

The third proportional to 774,234 and 1,619,424 is: 3,387,262.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,234 : 1,619,424 = 1,619,424 : x
  2. Step 2: Convert to fraction form
    774,234/1,619,424 = 1,619,424/x
  3. Step 3: Cross multiply
    774,234x = 1,619,424 × 1,619,424
  4. Step 4: Simplify right side
    774,234x = 2,622,534,091,776
  5. Step 5: Solve for x
    x = 2,622,534,091,776/774,234
  6. Step 6: Final answer
    x = 3,387,262.88

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.