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Finding the Third Proportional to 442,802 and 950,107

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Solution

The third proportional to 442,802 and 950,107 is: 2,038,616.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,802 : 950,107 = 950,107 : x
  2. Step 2: Convert to fraction form
    442,802/950,107 = 950,107/x
  3. Step 3: Cross multiply
    442,802x = 950,107 × 950,107
  4. Step 4: Simplify right side
    442,802x = 902,703,311,449
  5. Step 5: Solve for x
    x = 902,703,311,449/442,802
  6. Step 6: Final answer
    x = 2,038,616.16

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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.