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Finding the Third Proportional to 438,966 and 943,422

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Solution

The third proportional to 438,966 and 943,422 is: 2,027,594.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,966 : 943,422 = 943,422 : x
  2. Step 2: Convert to fraction form
    438,966/943,422 = 943,422/x
  3. Step 3: Cross multiply
    438,966x = 943,422 × 943,422
  4. Step 4: Simplify right side
    438,966x = 890,045,070,084
  5. Step 5: Solve for x
    x = 890,045,070,084/438,966
  6. Step 6: Final answer
    x = 2,027,594.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.