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Finding the Third Proportional to 452,877 and 925,416

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Solution

The third proportional to 452,877 and 925,416 is: 1,891,009.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,877 : 925,416 = 925,416 : x
  2. Step 2: Convert to fraction form
    452,877/925,416 = 925,416/x
  3. Step 3: Cross multiply
    452,877x = 925,416 × 925,416
  4. Step 4: Simplify right side
    452,877x = 856,394,773,056
  5. Step 5: Solve for x
    x = 856,394,773,056/452,877
  6. Step 6: Final answer
    x = 1,891,009.64

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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.