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Finding the Third Proportional to 452,886 and 925,436

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Solution

The third proportional to 452,886 and 925,436 is: 1,891,053.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,886 : 925,436 = 925,436 : x
  2. Step 2: Convert to fraction form
    452,886/925,436 = 925,436/x
  3. Step 3: Cross multiply
    452,886x = 925,436 × 925,436
  4. Step 4: Simplify right side
    452,886x = 856,431,790,096
  5. Step 5: Solve for x
    x = 856,431,790,096/452,886
  6. Step 6: Final answer
    x = 1,891,053.80

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.