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Finding the Third Proportional to 903,422 and 1,964,302

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Solution

The third proportional to 903,422 and 1,964,302 is: 4,270,963.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,422 : 1,964,302 = 1,964,302 : x
  2. Step 2: Convert to fraction form
    903,422/1,964,302 = 1,964,302/x
  3. Step 3: Cross multiply
    903,422x = 1,964,302 × 1,964,302
  4. Step 4: Simplify right side
    903,422x = 3,858,482,347,204
  5. Step 5: Solve for x
    x = 3,858,482,347,204/903,422
  6. Step 6: Final answer
    x = 4,270,963.46

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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.