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Finding the Third Proportional to 800,325 and 1,889,213

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Solution

The third proportional to 800,325 and 1,889,213 is: 4,459,595.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,325 : 1,889,213 = 1,889,213 : x
  2. Step 2: Convert to fraction form
    800,325/1,889,213 = 1,889,213/x
  3. Step 3: Cross multiply
    800,325x = 1,889,213 × 1,889,213
  4. Step 4: Simplify right side
    800,325x = 3,569,125,759,369
  5. Step 5: Solve for x
    x = 3,569,125,759,369/800,325
  6. Step 6: Final answer
    x = 4,459,595.49

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.