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Finding the Third Proportional to 416,286 and 895,764

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Solution

The third proportional to 416,286 and 895,764 is: 1,927,504.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,286 : 895,764 = 895,764 : x
  2. Step 2: Convert to fraction form
    416,286/895,764 = 895,764/x
  3. Step 3: Cross multiply
    416,286x = 895,764 × 895,764
  4. Step 4: Simplify right side
    416,286x = 802,393,143,696
  5. Step 5: Solve for x
    x = 802,393,143,696/416,286
  6. Step 6: Final answer
    x = 1,927,504.51

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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.