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Finding the Third Proportional to 494,104 and 1,077,424

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Solution

The third proportional to 494,104 and 1,077,424 is: 2,349,388.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,104 : 1,077,424 = 1,077,424 : x
  2. Step 2: Convert to fraction form
    494,104/1,077,424 = 1,077,424/x
  3. Step 3: Cross multiply
    494,104x = 1,077,424 × 1,077,424
  4. Step 4: Simplify right side
    494,104x = 1,160,842,475,776
  5. Step 5: Solve for x
    x = 1,160,842,475,776/494,104
  6. Step 6: Final answer
    x = 2,349,388.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.