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Finding the Third Proportional to 432,540.42 and 946,539.84

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Solution

The third proportional to 432,540.42 and 946,539.84 is: 2,071,338.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,540.42 : 946,539.84 = 946,539.84 : x
  2. Step 2: Convert to fraction form
    432,540.42/946,539.84 = 946,539.84/x
  3. Step 3: Cross multiply
    432,540.42x = 946,539.84 × 946,539.84
  4. Step 4: Simplify right side
    432,540.42x = 895,937,675,806.27
  5. Step 5: Solve for x
    x = 895,937,675,806.27/432,540.42
  6. Step 6: Final answer
    x = 2,071,338.61

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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.