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Finding the Third Proportional to 427,740.75 and 926,052.75

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Solution

The third proportional to 427,740.75 and 926,052.75 is: 2,004,891.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,740.75 : 926,052.75 = 926,052.75 : x
  2. Step 2: Convert to fraction form
    427,740.75/926,052.75 = 926,052.75/x
  3. Step 3: Cross multiply
    427,740.75x = 926,052.75 × 926,052.75
  4. Step 4: Simplify right side
    427,740.75x = 857,573,695,782.56
  5. Step 5: Solve for x
    x = 857,573,695,782.56/427,740.75
  6. Step 6: Final answer
    x = 2,004,891.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.