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Finding the Third Proportional to 405,536 and 836,774

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Solution

The third proportional to 405,536 and 836,774 is: 1,726,580.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,536 : 836,774 = 836,774 : x
  2. Step 2: Convert to fraction form
    405,536/836,774 = 836,774/x
  3. Step 3: Cross multiply
    405,536x = 836,774 × 836,774
  4. Step 4: Simplify right side
    405,536x = 700,190,727,076
  5. Step 5: Solve for x
    x = 700,190,727,076/405,536
  6. Step 6: Final answer
    x = 1,726,580.94

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.