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Finding the Third Proportional to 466,770 and 950,661

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Solution

The third proportional to 466,770 and 950,661 is: 1,936,191.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,770 : 950,661 = 950,661 : x
  2. Step 2: Convert to fraction form
    466,770/950,661 = 950,661/x
  3. Step 3: Cross multiply
    466,770x = 950,661 × 950,661
  4. Step 4: Simplify right side
    466,770x = 903,756,336,921
  5. Step 5: Solve for x
    x = 903,756,336,921/466,770
  6. Step 6: Final answer
    x = 1,936,191.99

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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.