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Finding the Third Proportional to 452,864 and 925,391

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Solution

The third proportional to 452,864 and 925,391 is: 1,890,961.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,864 : 925,391 = 925,391 : x
  2. Step 2: Convert to fraction form
    452,864/925,391 = 925,391/x
  3. Step 3: Cross multiply
    452,864x = 925,391 × 925,391
  4. Step 4: Simplify right side
    452,864x = 856,348,502,881
  5. Step 5: Solve for x
    x = 856,348,502,881/452,864
  6. Step 6: Final answer
    x = 1,890,961.75

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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.