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Finding the Third Proportional to 494,292 and 1,079,192

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Solution

The third proportional to 494,292 and 1,079,192 is: 2,356,209.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,292 : 1,079,192 = 1,079,192 : x
  2. Step 2: Convert to fraction form
    494,292/1,079,192 = 1,079,192/x
  3. Step 3: Cross multiply
    494,292x = 1,079,192 × 1,079,192
  4. Step 4: Simplify right side
    494,292x = 1,164,655,372,864
  5. Step 5: Solve for x
    x = 1,164,655,372,864/494,292
  6. Step 6: Final answer
    x = 2,356,209.23

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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.