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Finding the Third Proportional to 434,023 and 950,795

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Solution

The third proportional to 434,023 and 950,795 is: 2,082,864.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,023 : 950,795 = 950,795 : x
  2. Step 2: Convert to fraction form
    434,023/950,795 = 950,795/x
  3. Step 3: Cross multiply
    434,023x = 950,795 × 950,795
  4. Step 4: Simplify right side
    434,023x = 904,011,132,025
  5. Step 5: Solve for x
    x = 904,011,132,025/434,023
  6. Step 6: Final answer
    x = 2,082,864.58

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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.