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Finding the Third Proportional to 416,362 and 895,876

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Solution

The third proportional to 416,362 and 895,876 is: 1,927,634.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,362 : 895,876 = 895,876 : x
  2. Step 2: Convert to fraction form
    416,362/895,876 = 895,876/x
  3. Step 3: Cross multiply
    416,362x = 895,876 × 895,876
  4. Step 4: Simplify right side
    416,362x = 802,593,807,376
  5. Step 5: Solve for x
    x = 802,593,807,376/416,362
  6. Step 6: Final answer
    x = 1,927,634.62

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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.