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Finding the Third Proportional to 534,384 and 1,120,608

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Solution

The third proportional to 534,384 and 1,120,608 is: 2,349,924.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,384 : 1,120,608 = 1,120,608 : x
  2. Step 2: Convert to fraction form
    534,384/1,120,608 = 1,120,608/x
  3. Step 3: Cross multiply
    534,384x = 1,120,608 × 1,120,608
  4. Step 4: Simplify right side
    534,384x = 1,255,762,289,664
  5. Step 5: Solve for x
    x = 1,255,762,289,664/534,384
  6. Step 6: Final answer
    x = 2,349,924.94

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.