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Finding the Third Proportional to 452,500 and 974,936

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Solution

The third proportional to 452,500 and 974,936 is: 2,100,552.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,500 : 974,936 = 974,936 : x
  2. Step 2: Convert to fraction form
    452,500/974,936 = 974,936/x
  3. Step 3: Cross multiply
    452,500x = 974,936 × 974,936
  4. Step 4: Simplify right side
    452,500x = 950,500,204,096
  5. Step 5: Solve for x
    x = 950,500,204,096/452,500
  6. Step 6: Final answer
    x = 2,100,552.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.