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Finding the Third Proportional to 416,962 and 910,388

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Solution

The third proportional to 416,962 and 910,388 is: 1,987,726.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,962 : 910,388 = 910,388 : x
  2. Step 2: Convert to fraction form
    416,962/910,388 = 910,388/x
  3. Step 3: Cross multiply
    416,962x = 910,388 × 910,388
  4. Step 4: Simplify right side
    416,962x = 828,806,310,544
  5. Step 5: Solve for x
    x = 828,806,310,544/416,962
  6. Step 6: Final answer
    x = 1,987,726.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.