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Finding the Third Proportional to 854,469 and 1,844,037

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Solution

The third proportional to 854,469 and 1,844,037 is: 3,979,632.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,469 : 1,844,037 = 1,844,037 : x
  2. Step 2: Convert to fraction form
    854,469/1,844,037 = 1,844,037/x
  3. Step 3: Cross multiply
    854,469x = 1,844,037 × 1,844,037
  4. Step 4: Simplify right side
    854,469x = 3,400,472,457,369
  5. Step 5: Solve for x
    x = 3,400,472,457,369/854,469
  6. Step 6: Final answer
    x = 3,979,632.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.