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Finding the Third Proportional to 452,884 and 925,430

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Solution

The third proportional to 452,884 and 925,430 is: 1,891,037.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,884 : 925,430 = 925,430 : x
  2. Step 2: Convert to fraction form
    452,884/925,430 = 925,430/x
  3. Step 3: Cross multiply
    452,884x = 925,430 × 925,430
  4. Step 4: Simplify right side
    452,884x = 856,420,684,900
  5. Step 5: Solve for x
    x = 856,420,684,900/452,884
  6. Step 6: Final answer
    x = 1,891,037.63

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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.