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Finding the Third Proportional to 416,378 and 895,906

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Solution

The third proportional to 416,378 and 895,906 is: 1,927,689.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,378 : 895,906 = 895,906 : x
  2. Step 2: Convert to fraction form
    416,378/895,906 = 895,906/x
  3. Step 3: Cross multiply
    416,378x = 895,906 × 895,906
  4. Step 4: Simplify right side
    416,378x = 802,647,560,836
  5. Step 5: Solve for x
    x = 802,647,560,836/416,378
  6. Step 6: Final answer
    x = 1,927,689.65

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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.