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Finding the Third Proportional to 438,684 and 952,536

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Solution

The third proportional to 438,684 and 952,536 is: 2,068,287.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,684 : 952,536 = 952,536 : x
  2. Step 2: Convert to fraction form
    438,684/952,536 = 952,536/x
  3. Step 3: Cross multiply
    438,684x = 952,536 × 952,536
  4. Step 4: Simplify right side
    438,684x = 907,324,831,296
  5. Step 5: Solve for x
    x = 907,324,831,296/438,684
  6. Step 6: Final answer
    x = 2,068,287.95

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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.