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Finding the Third Proportional to 410,744 and 882,205

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Solution

The third proportional to 410,744 and 882,205 is: 1,894,819.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,744 : 882,205 = 882,205 : x
  2. Step 2: Convert to fraction form
    410,744/882,205 = 882,205/x
  3. Step 3: Cross multiply
    410,744x = 882,205 × 882,205
  4. Step 4: Simplify right side
    410,744x = 778,285,662,025
  5. Step 5: Solve for x
    x = 778,285,662,025/410,744
  6. Step 6: Final answer
    x = 1,894,819.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.