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Finding the Third Proportional to 903,411 and 1,964,286

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Solution

The third proportional to 903,411 and 1,964,286 is: 4,270,945.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,411 : 1,964,286 = 1,964,286 : x
  2. Step 2: Convert to fraction form
    903,411/1,964,286 = 1,964,286/x
  3. Step 3: Cross multiply
    903,411x = 1,964,286 × 1,964,286
  4. Step 4: Simplify right side
    903,411x = 3,858,419,489,796
  5. Step 5: Solve for x
    x = 3,858,419,489,796/903,411
  6. Step 6: Final answer
    x = 4,270,945.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.