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Finding the Third Proportional to 416,378 and 895,908

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Solution

The third proportional to 416,378 and 895,908 is: 1,927,698.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,378 : 895,908 = 895,908 : x
  2. Step 2: Convert to fraction form
    416,378/895,908 = 895,908/x
  3. Step 3: Cross multiply
    416,378x = 895,908 × 895,908
  4. Step 4: Simplify right side
    416,378x = 802,651,144,464
  5. Step 5: Solve for x
    x = 802,651,144,464/416,378
  6. Step 6: Final answer
    x = 1,927,698.26

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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.