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Finding the Third Proportional to 434,250 and 956,847

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Solution

The third proportional to 434,250 and 956,847 is: 2,108,361.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,250 : 956,847 = 956,847 : x
  2. Step 2: Convert to fraction form
    434,250/956,847 = 956,847/x
  3. Step 3: Cross multiply
    434,250x = 956,847 × 956,847
  4. Step 4: Simplify right side
    434,250x = 915,556,181,409
  5. Step 5: Solve for x
    x = 915,556,181,409/434,250
  6. Step 6: Final answer
    x = 2,108,361.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.