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Finding the Third Proportional to 442,806 and 950,115

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Solution

The third proportional to 442,806 and 950,115 is: 2,038,632.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,806 : 950,115 = 950,115 : x
  2. Step 2: Convert to fraction form
    442,806/950,115 = 950,115/x
  3. Step 3: Cross multiply
    442,806x = 950,115 × 950,115
  4. Step 4: Simplify right side
    442,806x = 902,718,513,225
  5. Step 5: Solve for x
    x = 902,718,513,225/442,806
  6. Step 6: Final answer
    x = 2,038,632.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.