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Finding the Third Proportional to 442,773 and 950,049

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Solution

The third proportional to 442,773 and 950,049 is: 2,038,500.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,773 : 950,049 = 950,049 : x
  2. Step 2: Convert to fraction form
    442,773/950,049 = 950,049/x
  3. Step 3: Cross multiply
    442,773x = 950,049 × 950,049
  4. Step 4: Simplify right side
    442,773x = 902,593,102,401
  5. Step 5: Solve for x
    x = 902,593,102,401/442,773
  6. Step 6: Final answer
    x = 2,038,500.77

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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.