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Finding the Third Proportional to 432,912.09 and 928,872.56

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Solution

The third proportional to 432,912.09 and 928,872.56 is: 1,993,024.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,912.09 : 928,872.56 = 928,872.56 : x
  2. Step 2: Convert to fraction form
    432,912.09/928,872.56 = 928,872.56/x
  3. Step 3: Cross multiply
    432,912.09x = 928,872.56 × 928,872.56
  4. Step 4: Simplify right side
    432,912.09x = 862,804,237,365.32
  5. Step 5: Solve for x
    x = 862,804,237,365.32/432,912.09
  6. Step 6: Final answer
    x = 1,993,024.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.