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Finding the Third Proportional to 438,648 and 956,622

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Solution

The third proportional to 438,648 and 956,622 is: 2,086,241.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,648 : 956,622 = 956,622 : x
  2. Step 2: Convert to fraction form
    438,648/956,622 = 956,622/x
  3. Step 3: Cross multiply
    438,648x = 956,622 × 956,622
  4. Step 4: Simplify right side
    438,648x = 915,125,650,884
  5. Step 5: Solve for x
    x = 915,125,650,884/438,648
  6. Step 6: Final answer
    x = 2,086,241.48

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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.