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Finding the Third Proportional to 929,520 and 2,029,608

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Solution

The third proportional to 929,520 and 2,029,608 is: 4,431,651.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,520 : 2,029,608 = 2,029,608 : x
  2. Step 2: Convert to fraction form
    929,520/2,029,608 = 2,029,608/x
  3. Step 3: Cross multiply
    929,520x = 2,029,608 × 2,029,608
  4. Step 4: Simplify right side
    929,520x = 4,119,308,633,664
  5. Step 5: Solve for x
    x = 4,119,308,633,664/929,520
  6. Step 6: Final answer
    x = 4,431,651.43

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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.