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Finding the Third Proportional to 453,323 and 993,834

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Solution

The third proportional to 453,323 and 993,834 is: 2,178,812.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,323 : 993,834 = 993,834 : x
  2. Step 2: Convert to fraction form
    453,323/993,834 = 993,834/x
  3. Step 3: Cross multiply
    453,323x = 993,834 × 993,834
  4. Step 4: Simplify right side
    453,323x = 987,706,019,556
  5. Step 5: Solve for x
    x = 987,706,019,556/453,323
  6. Step 6: Final answer
    x = 2,178,812.94

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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.