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Finding the Third Proportional to 843,894 and 1,848,005

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Solution

The third proportional to 843,894 and 1,848,005 is: 4,046,861.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,894 : 1,848,005 = 1,848,005 : x
  2. Step 2: Convert to fraction form
    843,894/1,848,005 = 1,848,005/x
  3. Step 3: Cross multiply
    843,894x = 1,848,005 × 1,848,005
  4. Step 4: Simplify right side
    843,894x = 3,415,122,480,025
  5. Step 5: Solve for x
    x = 3,415,122,480,025/843,894
  6. Step 6: Final answer
    x = 4,046,861.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.