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Finding the Third Proportional to 854,467 and 1,844,033

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Solution

The third proportional to 854,467 and 1,844,033 is: 3,979,624.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,467 : 1,844,033 = 1,844,033 : x
  2. Step 2: Convert to fraction form
    854,467/1,844,033 = 1,844,033/x
  3. Step 3: Cross multiply
    854,467x = 1,844,033 × 1,844,033
  4. Step 4: Simplify right side
    854,467x = 3,400,457,705,089
  5. Step 5: Solve for x
    x = 3,400,457,705,089/854,467
  6. Step 6: Final answer
    x = 3,979,624.38

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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.