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Finding the Third Proportional to 494,092.50 and 1,078,542

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Solution

The third proportional to 494,092.50 and 1,078,542 is: 2,354,322.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,092.50 : 1,078,542 = 1,078,542 : x
  2. Step 2: Convert to fraction form
    494,092.50/1,078,542 = 1,078,542/x
  3. Step 3: Cross multiply
    494,092.50x = 1,078,542 × 1,078,542
  4. Step 4: Simplify right side
    494,092.50x = 1,163,252,845,764
  5. Step 5: Solve for x
    x = 1,163,252,845,764/494,092.50
  6. Step 6: Final answer
    x = 2,354,322.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.