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Finding the Third Proportional to 434,021 and 950,791

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Solution

The third proportional to 434,021 and 950,791 is: 2,082,856.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,021 : 950,791 = 950,791 : x
  2. Step 2: Convert to fraction form
    434,021/950,791 = 950,791/x
  3. Step 3: Cross multiply
    434,021x = 950,791 × 950,791
  4. Step 4: Simplify right side
    434,021x = 904,003,525,681
  5. Step 5: Solve for x
    x = 904,003,525,681/434,021
  6. Step 6: Final answer
    x = 2,082,856.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.