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Finding the Third Proportional to 665,288.44 and 1,017,889.03

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Solution

The third proportional to 665,288.44 and 1,017,889.03 is: 1,557,366.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,288.44 : 1,017,889.03 = 1,017,889.03 : x
  2. Step 2: Convert to fraction form
    665,288.44/1,017,889.03 = 1,017,889.03/x
  3. Step 3: Cross multiply
    665,288.44x = 1,017,889.03 × 1,017,889.03
  4. Step 4: Simplify right side
    665,288.44x = 1,036,098,079,939.06
  5. Step 5: Solve for x
    x = 1,036,098,079,939.06/665,288.44
  6. Step 6: Final answer
    x = 1,557,366.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.