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Finding the Third Proportional to 510,354 and 1,192,041

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Solution

The third proportional to 510,354 and 1,192,041 is: 2,784,266.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,354 : 1,192,041 = 1,192,041 : x
  2. Step 2: Convert to fraction form
    510,354/1,192,041 = 1,192,041/x
  3. Step 3: Cross multiply
    510,354x = 1,192,041 × 1,192,041
  4. Step 4: Simplify right side
    510,354x = 1,420,961,745,681
  5. Step 5: Solve for x
    x = 1,420,961,745,681/510,354
  6. Step 6: Final answer
    x = 2,784,266.89

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.