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Finding the Third Proportional to 656,793.56 and 1,414,872.56

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Solution

The third proportional to 656,793.56 and 1,414,872.56 is: 3,047,935.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,793.56 : 1,414,872.56 = 1,414,872.56 : x
  2. Step 2: Convert to fraction form
    656,793.56/1,414,872.56 = 1,414,872.56/x
  3. Step 3: Cross multiply
    656,793.56x = 1,414,872.56 × 1,414,872.56
  4. Step 4: Simplify right side
    656,793.56x = 2,001,864,368,115.32
  5. Step 5: Solve for x
    x = 2,001,864,368,115.32/656,793.56
  6. Step 6: Final answer
    x = 3,047,935.43

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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.