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Finding the Third Proportional to 494,865 and 1,103,453

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Solution

The third proportional to 494,865 and 1,103,453 is: 2,460,486.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,865 : 1,103,453 = 1,103,453 : x
  2. Step 2: Convert to fraction form
    494,865/1,103,453 = 1,103,453/x
  3. Step 3: Cross multiply
    494,865x = 1,103,453 × 1,103,453
  4. Step 4: Simplify right side
    494,865x = 1,217,608,523,209
  5. Step 5: Solve for x
    x = 1,217,608,523,209/494,865
  6. Step 6: Final answer
    x = 2,460,486.24

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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.