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Finding the Third Proportional to 2,074,665 and 4,251,753.75

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Solution

The third proportional to 2,074,665 and 4,251,753.75 is: 8,713,411.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074,665 : 4,251,753.75 = 4,251,753.75 : x
  2. Step 2: Convert to fraction form
    2,074,665/4,251,753.75 = 4,251,753.75/x
  3. Step 3: Cross multiply
    2,074,665x = 4,251,753.75 × 4,251,753.75
  4. Step 4: Simplify right side
    2,074,665x = 18,077,409,950,639.06
  5. Step 5: Solve for x
    x = 18,077,409,950,639.06/2,074,665
  6. Step 6: Final answer
    x = 8,713,411.54

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.