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Finding the Third Proportional to 412,738 and 903,244

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Solution

The third proportional to 412,738 and 903,244 is: 1,976,677.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,738 : 903,244 = 903,244 : x
  2. Step 2: Convert to fraction form
    412,738/903,244 = 903,244/x
  3. Step 3: Cross multiply
    412,738x = 903,244 × 903,244
  4. Step 4: Simplify right side
    412,738x = 815,849,723,536
  5. Step 5: Solve for x
    x = 815,849,723,536/412,738
  6. Step 6: Final answer
    x = 1,976,677.03

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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.