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Finding the Third Proportional to 416,768 and 902,656

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Solution

The third proportional to 416,768 and 902,656 is: 1,955,015.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,768 : 902,656 = 902,656 : x
  2. Step 2: Convert to fraction form
    416,768/902,656 = 902,656/x
  3. Step 3: Cross multiply
    416,768x = 902,656 × 902,656
  4. Step 4: Simplify right side
    416,768x = 814,787,854,336
  5. Step 5: Solve for x
    x = 814,787,854,336/416,768
  6. Step 6: Final answer
    x = 1,955,015.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.