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Finding the Third Proportional to 416,967 and 910,392

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Solution

The third proportional to 416,967 and 910,392 is: 1,987,719.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,967 : 910,392 = 910,392 : x
  2. Step 2: Convert to fraction form
    416,967/910,392 = 910,392/x
  3. Step 3: Cross multiply
    416,967x = 910,392 × 910,392
  4. Step 4: Simplify right side
    416,967x = 828,813,593,664
  5. Step 5: Solve for x
    x = 828,813,593,664/416,967
  6. Step 6: Final answer
    x = 1,987,719.88

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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.