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Finding the Third Proportional to 519,914 and 1,117,204

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Solution

The third proportional to 519,914 and 1,117,204 is: 2,400,675.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,914 : 1,117,204 = 1,117,204 : x
  2. Step 2: Convert to fraction form
    519,914/1,117,204 = 1,117,204/x
  3. Step 3: Cross multiply
    519,914x = 1,117,204 × 1,117,204
  4. Step 4: Simplify right side
    519,914x = 1,248,144,777,616
  5. Step 5: Solve for x
    x = 1,248,144,777,616/519,914
  6. Step 6: Final answer
    x = 2,400,675.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.