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Finding the Third Proportional to 434,034 and 950,818

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Solution

The third proportional to 434,034 and 950,818 is: 2,082,912.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,034 : 950,818 = 950,818 : x
  2. Step 2: Convert to fraction form
    434,034/950,818 = 950,818/x
  3. Step 3: Cross multiply
    434,034x = 950,818 × 950,818
  4. Step 4: Simplify right side
    434,034x = 904,054,869,124
  5. Step 5: Solve for x
    x = 904,054,869,124/434,034
  6. Step 6: Final answer
    x = 2,082,912.56

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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.