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Finding the Third Proportional to 633,060 and 1,494,414

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Solution

The third proportional to 633,060 and 1,494,414 is: 3,527,743.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,060 : 1,494,414 = 1,494,414 : x
  2. Step 2: Convert to fraction form
    633,060/1,494,414 = 1,494,414/x
  3. Step 3: Cross multiply
    633,060x = 1,494,414 × 1,494,414
  4. Step 4: Simplify right side
    633,060x = 2,233,273,203,396
  5. Step 5: Solve for x
    x = 2,233,273,203,396/633,060
  6. Step 6: Final answer
    x = 3,527,743.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.