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Finding the Third Proportional to 412,173 and 896,927

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Solution

The third proportional to 412,173 and 896,927 is: 1,951,797.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,173 : 896,927 = 896,927 : x
  2. Step 2: Convert to fraction form
    412,173/896,927 = 896,927/x
  3. Step 3: Cross multiply
    412,173x = 896,927 × 896,927
  4. Step 4: Simplify right side
    412,173x = 804,478,043,329
  5. Step 5: Solve for x
    x = 804,478,043,329/412,173
  6. Step 6: Final answer
    x = 1,951,797.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.