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Finding the Third Proportional to 452,745 and 949,554

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Solution

The third proportional to 452,745 and 949,554 is: 1,991,524.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,745 : 949,554 = 949,554 : x
  2. Step 2: Convert to fraction form
    452,745/949,554 = 949,554/x
  3. Step 3: Cross multiply
    452,745x = 949,554 × 949,554
  4. Step 4: Simplify right side
    452,745x = 901,652,798,916
  5. Step 5: Solve for x
    x = 901,652,798,916/452,745
  6. Step 6: Final answer
    x = 1,991,524.59

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.