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Finding the Third Proportional to 407,836 and 885,736

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Solution

The third proportional to 407,836 and 885,736 is: 1,923,636.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,836 : 885,736 = 885,736 : x
  2. Step 2: Convert to fraction form
    407,836/885,736 = 885,736/x
  3. Step 3: Cross multiply
    407,836x = 885,736 × 885,736
  4. Step 4: Simplify right side
    407,836x = 784,528,261,696
  5. Step 5: Solve for x
    x = 784,528,261,696/407,836
  6. Step 6: Final answer
    x = 1,923,636.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.