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Finding the Third Proportional to 442,780 and 950,062

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Solution

The third proportional to 442,780 and 950,062 is: 2,038,524.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,780 : 950,062 = 950,062 : x
  2. Step 2: Convert to fraction form
    442,780/950,062 = 950,062/x
  3. Step 3: Cross multiply
    442,780x = 950,062 × 950,062
  4. Step 4: Simplify right side
    442,780x = 902,617,803,844
  5. Step 5: Solve for x
    x = 902,617,803,844/442,780
  6. Step 6: Final answer
    x = 2,038,524.33

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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.