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Finding the Third Proportional to 1,753,760 and 3,824,905

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Solution

The third proportional to 1,753,760 and 3,824,905 is: 8,342,018.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753,760 : 3,824,905 = 3,824,905 : x
  2. Step 2: Convert to fraction form
    1,753,760/3,824,905 = 3,824,905/x
  3. Step 3: Cross multiply
    1,753,760x = 3,824,905 × 3,824,905
  4. Step 4: Simplify right side
    1,753,760x = 14,629,898,259,025
  5. Step 5: Solve for x
    x = 14,629,898,259,025/1,753,760
  6. Step 6: Final answer
    x = 8,342,018.44

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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.