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Finding the Third Proportional to 494,856 and 1,103,436

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Solution

The third proportional to 494,856 and 1,103,436 is: 2,460,455.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,856 : 1,103,436 = 1,103,436 : x
  2. Step 2: Convert to fraction form
    494,856/1,103,436 = 1,103,436/x
  3. Step 3: Cross multiply
    494,856x = 1,103,436 × 1,103,436
  4. Step 4: Simplify right side
    494,856x = 1,217,571,006,096
  5. Step 5: Solve for x
    x = 1,217,571,006,096/494,856
  6. Step 6: Final answer
    x = 2,460,455.18

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.