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Finding the Third Proportional to 416,976 and 910,416

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Solution

The third proportional to 416,976 and 910,416 is: 1,987,781.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,976 : 910,416 = 910,416 : x
  2. Step 2: Convert to fraction form
    416,976/910,416 = 910,416/x
  3. Step 3: Cross multiply
    416,976x = 910,416 × 910,416
  4. Step 4: Simplify right side
    416,976x = 828,857,293,056
  5. Step 5: Solve for x
    x = 828,857,293,056/416,976
  6. Step 6: Final answer
    x = 1,987,781.77

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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.