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Finding the Third Proportional to 416,259 and 914,346

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Solution

The third proportional to 416,259 and 914,346 is: 2,008,433.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,259 : 914,346 = 914,346 : x
  2. Step 2: Convert to fraction form
    416,259/914,346 = 914,346/x
  3. Step 3: Cross multiply
    416,259x = 914,346 × 914,346
  4. Step 4: Simplify right side
    416,259x = 836,028,607,716
  5. Step 5: Solve for x
    x = 836,028,607,716/416,259
  6. Step 6: Final answer
    x = 2,008,433.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.