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Finding the Third Proportional to 408,107 and 894,982

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Solution

The third proportional to 408,107 and 894,982 is: 1,962,702.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,107 : 894,982 = 894,982 : x
  2. Step 2: Convert to fraction form
    408,107/894,982 = 894,982/x
  3. Step 3: Cross multiply
    408,107x = 894,982 × 894,982
  4. Step 4: Simplify right side
    408,107x = 800,992,780,324
  5. Step 5: Solve for x
    x = 800,992,780,324/408,107
  6. Step 6: Final answer
    x = 1,962,702.87

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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.