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Finding the Third Proportional to 407,834 and 885,732

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Solution

The third proportional to 407,834 and 885,732 is: 1,923,628.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,834 : 885,732 = 885,732 : x
  2. Step 2: Convert to fraction form
    407,834/885,732 = 885,732/x
  3. Step 3: Cross multiply
    407,834x = 885,732 × 885,732
  4. Step 4: Simplify right side
    407,834x = 784,521,175,824
  5. Step 5: Solve for x
    x = 784,521,175,824/407,834
  6. Step 6: Final answer
    x = 1,923,628.67

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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.