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Finding the Third Proportional to 466,794 and 950,706

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Solution

The third proportional to 466,794 and 950,706 is: 1,936,275.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,794 : 950,706 = 950,706 : x
  2. Step 2: Convert to fraction form
    466,794/950,706 = 950,706/x
  3. Step 3: Cross multiply
    466,794x = 950,706 × 950,706
  4. Step 4: Simplify right side
    466,794x = 903,841,898,436
  5. Step 5: Solve for x
    x = 903,841,898,436/466,794
  6. Step 6: Final answer
    x = 1,936,275.74

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.