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Finding the Third Proportional to 412,736 and 903,240

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Solution

The third proportional to 412,736 and 903,240 is: 1,976,669.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,736 : 903,240 = 903,240 : x
  2. Step 2: Convert to fraction form
    412,736/903,240 = 903,240/x
  3. Step 3: Cross multiply
    412,736x = 903,240 × 903,240
  4. Step 4: Simplify right side
    412,736x = 815,842,497,600
  5. Step 5: Solve for x
    x = 815,842,497,600/412,736
  6. Step 6: Final answer
    x = 1,976,669.10

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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.