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Finding the Third Proportional to 416,956 and 910,368

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Solution

The third proportional to 416,956 and 910,368 is: 1,987,667.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,956 : 910,368 = 910,368 : x
  2. Step 2: Convert to fraction form
    416,956/910,368 = 910,368/x
  3. Step 3: Cross multiply
    416,956x = 910,368 × 910,368
  4. Step 4: Simplify right side
    416,956x = 828,769,895,424
  5. Step 5: Solve for x
    x = 828,769,895,424/416,956
  6. Step 6: Final answer
    x = 1,987,667.51

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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.