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Finding the Third Proportional to 438,405 and 956,244

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Solution

The third proportional to 438,405 and 956,244 is: 2,085,748.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,405 : 956,244 = 956,244 : x
  2. Step 2: Convert to fraction form
    438,405/956,244 = 956,244/x
  3. Step 3: Cross multiply
    438,405x = 956,244 × 956,244
  4. Step 4: Simplify right side
    438,405x = 914,402,587,536
  5. Step 5: Solve for x
    x = 914,402,587,536/438,405
  6. Step 6: Final answer
    x = 2,085,748.54

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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.