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Finding the Third Proportional to 410,414 and 877,568

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Solution

The third proportional to 410,414 and 877,568 is: 1,876,460.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,414 : 877,568 = 877,568 : x
  2. Step 2: Convert to fraction form
    410,414/877,568 = 877,568/x
  3. Step 3: Cross multiply
    410,414x = 877,568 × 877,568
  4. Step 4: Simplify right side
    410,414x = 770,125,594,624
  5. Step 5: Solve for x
    x = 770,125,594,624/410,414
  6. Step 6: Final answer
    x = 1,876,460.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.